Solve 0.211/0.34=110^-3x0.086/1.610^-360*0.0985

$$\frac{ 0.211 }{ 0.34 } = \frac{ 1 { 10 }^{ -3 } x0.086 }{ 1.6 { 10 }^{ -3 } 60 \cdot 0.0985 }$$

Solve for x_0

$$x_{0} = \frac{249402}{3655} = 68\frac{862}{3655} \approx 68.235841313$$

Steps for Solving Linear Equation

Expand \frac{0.211}{0.34} by multiplying both numerator and the denominator by 1000.

$$\frac{211}{340}=\frac{1\times 10^{-3}x_{0}\times 0.086}{1.6\times 10^{-3}\times 60\times 0.0985}$$

Cancel out 10^{-3} in both numerator and denominator.

$$\frac{211}{340}=\frac{0.086x_{0}}{0.0985\times 1.6\times 60}$$

Multiply 0.0985 and 1.6 to get 0.1576.

$$\frac{211}{340}=\frac{0.086x_{0}}{0.1576\times 60}$$

Multiply 0.1576 and 60 to get 9.456.

$$\frac{211}{340}=\frac{0.086x_{0}}{9.456}$$

Divide 0.086x_{0} by 9.456 to get \frac{43}{4728}x_{0}.

$$\frac{211}{340}=\frac{43}{4728}x_{0}$$

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

$$\frac{43}{4728}x_{0}=\frac{211}{340}$$

Divide both sides by \frac{43}{4728}.

$$x_{0}=\frac{\frac{211}{340}}{\frac{43}{4728}}$$

Express \frac{\frac{211}{340}}{\frac{43}{4728}} as a single fraction.

$$x_{0}=\frac{211}{340\times \frac{43}{4728}}$$

Multiply 340 and \frac{43}{4728} to get \frac{3655}{1182}.

$$x_{0}=\frac{211}{\frac{3655}{1182}}$$