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Each number is 4 times larger than the one that precedes it. This becomes obvious once we convert all four numbers to fractions with the denominator of 16:

3/16

12/16 = 3/4

48/16 = 3

192/16 = 12

12/16 is 4 times 3/16

48/16 is 4 times 12/16

192/16 is 4 times 48/16

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