Solve 200^2/48.4x=220^2/48.4*1200

$$\frac{ { 200 }^{ 2 } }{ 48.4 } x= \frac{ { 220 }^{ 2 } }{ 48.4 } \times 1200$$

Solve for x

$$x=1452$$

Steps for Solving Linear Equation

Calculate 200 to the power of 2 and get 40000.

$$\frac{40000}{48.4}x=\frac{220^{2}}{48.4}\times 1200$$

Expand \frac{40000}{48.4} by multiplying both numerator and the denominator by 10.

$$\frac{400000}{484}x=\frac{220^{2}}{48.4}\times 1200$$

Reduce the fraction \frac{400000}{484} to lowest terms by extracting and canceling out 4.

$$\frac{100000}{121}x=\frac{220^{2}}{48.4}\times 1200$$

Calculate 220 to the power of 2 and get 48400.

$$\frac{100000}{121}x=\frac{48400}{48.4}\times 1200$$

Expand \frac{48400}{48.4} by multiplying both numerator and the denominator by 10.

$$\frac{100000}{121}x=\frac{484000}{484}\times 1200$$

Divide 484000 by 484 to get 1000.

$$\frac{100000}{121}x=1000\times 1200$$

Multiply 1000 and 1200 to get 1200000.

$$\frac{100000}{121}x=1200000$$

Multiply both sides by \frac{121}{100000}, the reciprocal of \frac{100000}{121}.

$$x=1200000\times \frac{121}{100000}$$

Express 1200000\times \frac{121}{100000} as a single fraction.

$$x=\frac{1200000\times 121}{100000}$$

Multiply 1200000 and 121 to get 145200000.

$$x=\frac{145200000}{100000}$$

Divide 145200000 by 100000 to get 1452.

$$x=1452$$