Convert astronomical unit to fen(市分)

Learn how to convert 1 astronomical unit to fen(市分) step by step.

Calculation Breakdown

Set up the equation

1.0 (a s t r o n o m i c a l u n i t) = x (f e n (市 分))

Define the base values of the selected units in relation to the SI unit

(m e t e r)

Left side: 1.0 (a s t r o n o m i c a l u n i t) = 149597870691.0 (m e t e r) = 149597870691.0 (m)

Right side: 1.0 (f e n (市 分)) = \frac{1.0}{3.0 \times 10^{2}} (m e t e r) = \frac{1.0}{3.0 \times 10^{2}} (m)

Insert known values into the conversion equation to determine

x

1.0 (a s t r o n o m i c a l u n i t) = x (f e n (市 分))

Insert known values =>

1.0 \times 149597870691.0 \times (m e t e r) = x \times \frac{1.0}{3.0 \times 10^{2}} \times (m e t e r)

Or

1.0 \cdot 149597870691.0 \cdot (m) = x \cdot \frac{1.0}{3.0 \times 10^{2}} \cdot (m)

Cancel SI units

1.0 \times 149597870691.0 \cdot (m) = x \times \frac{1.0}{3.0 \times 10^{2}} \times (m)

Conversion Equation

149597870691.0 = x \times \frac{1.0}{3.0 \times 10^{2}}

Switch sides

x \times \frac{1.0}{3.0 \times 10^{2}} = 149597870691.0

Isolate

x

Multiply both sides by

(\frac{3.0 \times 10^{2}}{1.0})

x \times \frac{1.0}{3.0 \times 10^{2}} \times \frac{3.0 \times 10^{2}}{1.0} = 149597870691.0 \times \frac{3.0 \times 10^{2}}{1.0}

Cancel

x \times \frac{1.0 \times 3.0 \times 10^{2}}{3.0 \times 10^{2} \times 1.0} = 149597870691.0 \times \frac{3.0 \times 10^{2}}{1.0}

Simplify

x = 149597870691.0 \times 3.0 \times 10^{2}

Solve

x

x = 4.4879361207 \times 10^{13} \approx 4.4879 \times 10^{13}

Conversion Equation

1.0 (a s t r o n o m i c a l u n i t) \approx 4.4879 \times 10^{13} (f e n (市 分))

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