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How long is 0.0004 miles?

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It's about 500 times as long as a Grain of Sand.
In other words, 0.0004 miles is 515 times the length of a Grain of Sand, and the length of a Grain of Sand is 0.00194 times that amount.
(medium grain)
Composed mainly of quartz, mica, feldspar, or magnetite, a grain of sand measures an average of 0.0000007770 miles. In 2007, a team of seven in Myrtle Beach created the world's tallest sandcastle, which measured 0.00938 miles in height.
It's about one-six-hundredth as tall as The Empire State Building.
In other words, 0.0004 miles is 0.0016896 times the height of The Empire State Building, and the height of The Empire State Building is 591.860 times that amount.
(New York City, New York) (to top of building)
The Empire State Building stands 0.236750 miles to its architectural peak. The spire emerging from the top of the building was originally intended to be a mooring mast for blimps whose passengers could disembark onto a landing platform on the 102nd floor of the building.
It's about one-seven-hundredth as tall as The Petronas Twin Towers.
In other words, 0.0004 miles is 0.001425 times the height of The Petronas Twin Towers, and the height of The Petronas Twin Towers is 701.80 times that amount.
(a.k.a. Menara Berkembar Petronas, a.k.a. Petronas Towers) (Kuala Lumpur, Malaysia) (to spire)
Each of the Petronas Towers stands 0.28080 miles to their spires. Holding the record as the tallest buildings in the world from 1998 to 2004, the towers continue to hold the record for the deepest foundation barrettes — up to 0.07146 miles deep.
It's about one-seven-hundred-fiftieth as tall as The Shanghai World Financial Center.
In other words, 0.0004 miles is 0.00131 times the height of The Shanghai World Financial Center, and the height of The Shanghai World Financial Center is 763 times that amount.
(上海环球金融中 上海環球金融中心, Shànghǎi huánqiú jīnróng zhōngxīn) (a.k.a. SWFC) (Shanghai, China) (to spire)
The Shanghai World Financial Center is 0.3060 miles tall to its roof. It is home to both the world's highest hotel (on its 79th through 93rd floors) and the world's tallest observation deck (on its 100th floor, approximately 0.2950 miles above ground).
It's about one-eight-hundredth as tall as The Taipei 101 (skyscraper).
In other words, 0.0004 miles is 0.00127 times the height of The Taipei 101 (skyscraper), and the height of The Taipei 101 (skyscraper) is 787 times that amount.
(a.k.a. Taipei Financial Center, a.k.a. 台北101, a.k.a. 臺北101) (Xinyi District, Taipei, Taiwan) (to spire)
The Taipei 101 reaches 0.3160 miles to its spire. The tower itself is said to be the style in world's tallest sundial, with the circular area of the adjacent Millennium Park acting as the sundial's face.
It's about one-eight-hundredth as tall as The Sears Tower.
In other words, 0.0004 miles is 0.00122 times the height of The Sears Tower, and the height of The Sears Tower is 820 times that amount.
(a.k.a. Willis Tower) (Chicago, Illinois) (to antenna peak)
The Willis Tower rises to 0.3270 miles to the top of its tallest antenna. The bathrooms on the 103rd floor are said to be the highest in the western hemisphere at 0.2560 miles.
It's about one-eight-hundred-fiftieth as tall as The Ostankino Tower.
In other words, the height of The Ostankino Tower is 830 times 0.0004 miles.
(a.k.a. Останкинская телебашня) (Moscow, Russia) (to spire)
The Ostankino Tower stands 0.340 miles to its spire. The tower has been the tallest structure in Europe since its construction in 1967 and was, at at that time, the only free-standing structure taller than 0.310 miles.