[chezlaw]

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Using wikipedia numbers I get that the sun is 389.17 times as far away as the moon. The sun is 400.67 times as big.

If they were significantly closer I would agree, but those numbers are far enough apart that it's just a coincidence and probably has no real implications.

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C'mon you can find some data much more significantly closer if you just keep looking. Must try harder.

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All the numbers have at least 6 decimal places. Unless the numbers are wrong, the answer can't be much closer than what I figured, unless I screwed up somewhere.

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not the precision of the measurements but the quantity of them. Measure enough paramteres of enough objects and you'll find any plenty of 'significant' closeness.