Solve 250=C[1-1/1.27049961095389]

$$250 = C [ 1 - \frac { 1 } { 1.27049961095389 } ]$$

Solve for C

$$C = \frac{31762490273847250}{27049961095389} = 1174\frac{5835947860562}{27049961095389} \approx 1174.215746996$$

Steps for Solving Linear Equation

Expand \frac{1}{1.27049961095389} by multiplying both numerator and the denominator by 100000000000000.

$$250=C\left(1-\frac{100000000000000}{127049961095389}\right)$$

Convert 1 to fraction \frac{127049961095389}{127049961095389}.

$$250=C\left(\frac{127049961095389}{127049961095389}-\frac{100000000000000}{127049961095389}\right)$$

Since \frac{127049961095389}{127049961095389} and \frac{100000000000000}{127049961095389} have the same denominator, subtract them by subtracting their numerators.

$$250=C\times \frac{127049961095389-100000000000000}{127049961095389}$$

Subtract 100000000000000 from 127049961095389 to get 27049961095389.

$$250=C\times \frac{27049961095389}{127049961095389}$$

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

$$C\times \frac{27049961095389}{127049961095389}=250$$

Multiply both sides by \frac{127049961095389}{27049961095389}, the reciprocal of \frac{27049961095389}{127049961095389}.

$$C=250\times \frac{127049961095389}{27049961095389}$$

Express 250\times \frac{127049961095389}{27049961095389} as a single fraction.

$$C=\frac{250\times 127049961095389}{27049961095389}$$

Multiply 250 and 127049961095389 to get 31762490273847250.

$$C=\frac{31762490273847250}{27049961095389}$$