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\frac{1}{100}\sqrt{361}x\times 100=1
Reduce the fraction \frac{47}{4700} to lowest terms by extracting and canceling out 47.
\frac{1}{100}\times 19x\times 100=1
Calculate the square root of 361 and get 19.
\frac{19}{100}x\times 100=1
Multiply \frac{1}{100} and 19 to get \frac{19}{100}.
19x=1
Cancel out 100 and 100.
x=\frac{1}{19}
Divide both sides by 19.