Solve 5,22/4,78=1000000/frac{1000000x{1000000+x}}

$$\frac { 5,22 } { 4,78 } = \frac { 1000000 } { \frac { 1000000 x } { 1000000 + x } }$$

Solve for x

$$x=\frac{119500000}{11}\approx 10863636,363636364$$

Steps for Solving Linear Equation

Expand \frac{5,22}{4,78} by multiplying both numerator and the denominator by 100.

$$\frac{522}{478}=\frac{1000000}{\frac{1000000x}{1000000+x}}$$

Reduce the fraction \frac{522}{478} to lowest terms by extracting and canceling out 2.

$$\frac{261}{239}=\frac{1000000}{\frac{1000000x}{1000000+x}}$$

Variable x cannot be equal to -1000000 since division by zero is not defined. Divide 1000000 by \frac{1000000x}{1000000+x} by multiplying 1000000 by the reciprocal of \frac{1000000x}{1000000+x}.

$$\frac{261}{239}=\frac{1000000\left(1000000+x\right)}{1000000x}$$

Cancel out 1000000 in both numerator and denominator.

$$\frac{261}{239}=\frac{x+1000000}{x}$$

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

$$\frac{x+1000000}{x}=\frac{261}{239}$$

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 239x, the least common multiple of x;239.

$$239\left(x+1000000\right)=261x$$

Use the distributive property to multiply 239 by x+1000000.

$$239x+239000000=261x$$

Subtract 261x from both sides.

$$239x+239000000-261x=0$$

Combine 239x and -261x to get -22x.

$$-22x+239000000=0$$

Subtract 239000000 from both sides. Anything subtracted from zero gives its negation.

$$-22x=-239000000$$

Divide both sides by -22.

$$x=\frac{-239000000}{-22}$$

Reduce the fraction \frac{-239000000}{-22} to lowest terms by extracting and canceling out -2.

$$x=\frac{119500000}{11}$$