Solve 822100/(frac{24.3{100})(x/100)}=1.5*10^8

$$\frac { 822100 } { ( \frac { 24.3 } { 100 } ) ( \frac { x } { 100 } ) } = 1.5 \times 10 ^ { 8 }$$

Solve for x

$$x = \frac{8221}{3645} = 2\frac{931}{3645} \approx 2.255418381$$

Steps for Solving Linear Equation

Expand \frac{24.3}{100} by multiplying both numerator and the denominator by 10.

$$\frac{822100}{\frac{243}{1000}\times \frac{x}{100}}=1.5\times 10^{8}$$

Multiply \frac{243}{1000} times \frac{x}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{822100}{\frac{243x}{1000\times 100}}=1.5\times 10^{8}$$

Divide 822100 by \frac{243x}{1000\times 100} by multiplying 822100 by the reciprocal of \frac{243x}{1000\times 100}.

$$\frac{822100\times 1000\times 100}{243x}=1.5\times 10^{8}$$

Multiply 822100 and 1000 to get 822100000.

$$\frac{822100000\times 100}{243x}=1.5\times 10^{8}$$

Multiply 822100000 and 100 to get 82210000000.

$$\frac{82210000000}{243x}=1.5\times 10^{8}$$

Calculate 10 to the power of 8 and get 100000000.

$$\frac{82210000000}{243x}=1.5\times 100000000$$

Multiply 1.5 and 100000000 to get 150000000.

$$\frac{82210000000}{243x}=150000000$$

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 243x.

$$82210000000=36450000000x$$

Divide both sides by 36450000000.

$$\frac{82210000000}{36450000000}=x$$

Reduce the fraction \frac{82210000000}{36450000000} to lowest terms by extracting and canceling out 10000000.

$$\frac{8221}{3645}=x$$

Swap sides so that all variable terms are on the left hand side.

$$x=\frac{8221}{3645}$$