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How heavy is 370 grains?

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It's about 0.00000004 times as heavy as Christ the Redeemer (statue)
In other words, 370 grains is 0.00000003780 times the weight of Christ the Redeemer (statue), and the weight of Christ the Redeemer (statue) is 26,500,000 times that amount.
(a.k.a. O Cristo Redentor, a.k.a. Christo redemptor) (Rio de Janeiro, Brazil)
Christ the Redeemer weighs 9,800,000,000 grains. The statue overlooks the city of Rio de Janeiro from atop the 709.9-meter (2,329 ft) granite peak in the Tijuca Forest National Park.
It's about 0.00000002 times as heavy as a Tree (Sierra Redwood)
In other words, 370 grains is 0.0000000180 times the weight of a Tree (Sierra Redwood), and the weight of a Tree (Sierra Redwood) is 56,000,000 times that amount.
(a.k.a. Giant Sequoia, a.k.a. Sierran redwood, a.k.a. Wellingtonia, a.k.a. "Big Tree", Sequoiadendron giganteum)
The weight of wood in a Giant Sequoia is 20,000,000,000 grains. General Sherman, a specimen in Sequoia National Park in Visalia, California, is the largest tree in the world by volume, with an estimated weight of about 29,000,000,000 grains.
It's about 0.000000003 times as heavy as The Eiffel Tower
In other words, 370 grains is 0.000000002370 times the weight of The Eiffel Tower, and the weight of The Eiffel Tower is 422,000,000 times that amount.
(a.k.a. La Tour Eiffel) (Paris, France) (total weight)
The Eiffel Tower weighs approximately 156,000,000,000 grains. Architected to be quickly assembled, the Tower contains only 930 cu. meters of solid material.
It's about 0.000000002 times as heavy as The Brooklyn Bridge
In other words, 370 grains is 0.00000000180 times the weight of The Brooklyn Bridge, and the weight of The Brooklyn Bridge is 555,600,000 times that amount.
(a.k.a. New York and Brooklyn Bridge) (Manhattan and Brooklyn, New York City, New York) (total weight)
The total weight of the Brooklyn Bridge is approximately 205,600,000,000 grains. In a promotional event to prove the bridge's stability shortly after it opened, entertainer P. T. Barnum led a parade of 21 elephants across it in May of 1884.
It's about 0.0000000010 times as heavy as The Statue of Liberty
In other words, 370 grains is 0.0000000009730 times the weight of The Statue of Liberty, and the weight of The Statue of Liberty is 1,030,000,000 times that amount.
(a.k.a. Liberty Enlightening the World, a.k.a. La Liberté éclairant le monde) (total weight, including foundation)
The total weight of the Statue of Liberty, including her base is roughly 380,000,000,000 grains. The statue was designed using an optical trick known as "forced perspective" to make the statue appear proportionally correct when viewed from its base and is, in actuality, disproportionately large at the top.
It's about 0.0000000002 times as heavy as The CN Tower
In other words, 370 grains is 0.000000000203340 times the weight of The CN Tower, and the weight of The CN Tower is 4,917,900,000 times that amount.
(a.k.a. La Tour CN, a.k.a. Canadian National Tower, a.k.a. Canada's National Tower) (Toronto, Canada)
The CN Tower weighs approximately 1,819,600,000,000 grains. The Tower is home to the world's highest glass floor — a viewing area that allows visitors to look straight down 342 m (1,120 ft) to the ground below.
It's about 0.0000000001 times as heavy as The Sears Tower
In other words, 370 grains is 0.00000000011880 times the weight of The Sears Tower, and the weight of The Sears Tower is 8,418,000,000 times that amount.
(officially "Willis Tower" as of 2009) (Chicago, Illinois)
The Willis Tower weighs approximately 3,114,000,000,000 grains. The outer wall surface of the Tower is covered with black anodized aluminum panels which would total 110,000 sq. m (28 acres) if laid out together.