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10100000=1.01\times 10^{5}\times \frac{50}{76}x
Multiply 50500 and 200 to get 10100000.
10100000=1.01\times 100000\times \frac{50}{76}x
Calculate 10 to the power of 5 and get 100000.
10100000=101000\times \frac{50}{76}x
Multiply 1.01 and 100000 to get 101000.
10100000=101000\times \frac{25}{38}x
Reduce the fraction \frac{50}{76} to lowest terms by extracting and canceling out 2.
10100000=\frac{101000\times 25}{38}x
Express 101000\times \frac{25}{38} as a single fraction.
10100000=\frac{2525000}{38}x
Multiply 101000 and 25 to get 2525000.
10100000=\frac{1262500}{19}x
Reduce the fraction \frac{2525000}{38} to lowest terms by extracting and canceling out 2.
\frac{1262500}{19}x=10100000
Swap sides so that all variable terms are on the left hand side.
x=10100000\times \frac{19}{1262500}
Multiply both sides by \frac{19}{1262500}, the reciprocal of \frac{1262500}{19}.
x=\frac{10100000\times 19}{1262500}
Express 10100000\times \frac{19}{1262500} as a single fraction.
x=\frac{191900000}{1262500}
Multiply 10100000 and 19 to get 191900000.
x=152
Divide 191900000 by 1262500 to get 152.