Solve 1.76*10^11=3*10^7/B*9*10^-2

$$1.76 \times { 10 }^{ 11 } = \frac{ 3 \times { 10 }^{ 7 } }{ B \times 9 \times { 10 }^{ -2 } }$$

Solve for B

$$B=\frac{1}{528}\approx 0.001893939$$

Steps for Solving Linear Equation

Calculate 10 to the power of 11 and get 100000000000.

$$1.76\times 100000000000=\frac{3\times 10^{7}}{B\times 9\times 10^{-2}}$$

Multiply 1.76 and 100000000000 to get 176000000000.

$$176000000000=\frac{3\times 10^{7}}{B\times 9\times 10^{-2}}$$

Cancel out 3 in both numerator and denominator.

$$176000000000=\frac{10^{7}}{3\times 10^{-2}B}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$176000000000=\frac{10^{9}}{3B}$$

Calculate 10 to the power of 9 and get 1000000000.

$$176000000000=\frac{1000000000}{3B}$$

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

$$\frac{1000000000}{3B}=176000000000$$

Variable B cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3B.

$$1000000000=528000000000B$$

Divide both sides by 528000000000.

$$\frac{1000000000}{528000000000}=B$$

Reduce the fraction \frac{1000000000}{528000000000} to lowest terms by extracting and canceling out 1000000000.

$$\frac{1}{528}=B$$

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

$$B=\frac{1}{528}$$