Convert astronomical unit to zhang(丈)

Learn how to convert 1 astronomical unit to zhang(丈) 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 (z h a n g (丈))

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 (z h a n g (丈)) = \frac{10.0}{3.0} (m e t e r) = \frac{10.0}{3.0} (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 (z h a n g (丈))

Insert known values =>

1.0 \times 149597870691.0 \times (m e t e r) = x \times \frac{10.0}{3.0} \times (m e t e r)

Or

1.0 \cdot 149597870691.0 \cdot (m) = x \cdot \frac{10.0}{3.0} \cdot (m)

Cancel SI units

1.0 \times 149597870691.0 \cdot (m) = x \times \frac{10.0}{3.0} \times (m)

Conversion Equation

149597870691.0 = x \times \frac{10.0}{3.0}

Switch sides

x \times \frac{10.0}{3.0} = 149597870691.0

Isolate

x

Multiply both sides by

(\frac{3.0}{10.0})

x \times \frac{10.0}{3.0} \times \frac{3.0}{10.0} = 149597870691.0 \times \frac{3.0}{10.0}

Cancel

x \times \frac{10.0 \times 3.0}{3.0 \times 10.0} = 149597870691.0 \times \frac{3.0}{10.0}

Simplify

x = \frac{149597870691.0 \times 3.0}{10.0}

Solve

x

x = 44879361207 \approx 4.4879 \times 10^{10}

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^{10} (z h a n g (丈))

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