Solve 4*3.14*3.14*1.96*10^1/6.67*10^-11*14*3600

$$\frac { 4 \times 3.14 \times 3.14 \times 1.96 \times 10 ^ { 1 } } { 6.67 \times 10 ^ { - 11 } \times 14 \times 3600 }$$

Evaluate

$$\frac{1380344000000}{6003}\approx 229942362.152257205$$

Solution Steps

Cancel out 2\times 2\times 10 in both numerator and denominator.

$$\frac{1.96\times 3.14\times 3.14}{6.67\times 7\times 180\times 10^{-11}}$$

Multiply 1.96 and 3.14 to get 6.1544.

$$\frac{6.1544\times 3.14}{6.67\times 7\times 180\times 10^{-11}}$$

Multiply 6.1544 and 3.14 to get 19.324816.

$$\frac{19.324816}{6.67\times 7\times 180\times 10^{-11}}$$

Multiply 6.67 and 7 to get 46.69.

$$\frac{19.324816}{46.69\times 180\times 10^{-11}}$$

Multiply 46.69 and 180 to get 8404.2.

$$\frac{19.324816}{8404.2\times 10^{-11}}$$

Calculate 10 to the power of -11 and get \frac{1}{100000000000}.

$$\frac{19.324816}{8404.2\times \frac{1}{100000000000}}$$

Multiply 8404.2 and \frac{1}{100000000000} to get \frac{42021}{500000000000}.

$$\frac{19.324816}{\frac{42021}{500000000000}}$$

Divide 19.324816 by \frac{42021}{500000000000} by multiplying 19.324816 by the reciprocal of \frac{42021}{500000000000}.

$$19.324816\times \frac{500000000000}{42021}$$

Multiply 19.324816 and \frac{500000000000}{42021} to get \frac{1380344000000}{6003}.

$$\frac{1380344000000}{6003}$$

Factor

$$\frac{7 \cdot 2 ^ {9} \cdot 5 ^ {6} \cdot 157 ^ {2}}{23 \cdot 29 \cdot 3 ^ {2}} = 229942362\frac{914}{6003} = 229942362.1522572$$