Convert quarter to pony

Learn how to convert 1 quarter to pony step by step.

Calculation Breakdown

Set up the equation

1.0 (q u a r t e r) = x (p o n y)

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

(c u b i c m e t e r)

Left side: 1.0 (q u a r t e r) = 2.9094976 \times 10^{- 1} (c u b i c m e t e r) = 2.9094976 \times 10^{- 1} (m^{3})

Right side: 1.0 (p o n y) = 2.2180147171875 \times 10^{- 5} (c u b i c m e t e r) = 2.2180147171875 \times 10^{- 5} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (q u a r t e r) = x (p o n y)

Insert known values =>

1.0 \times 2.9094976 \times 10^{- 1} \times (c u b i c m e t e r) = x \times 2.2180147171875 \times 10^{- 5} \times (c u b i c m e t e r)

Or

1.0 \cdot 2.9094976 \times 10^{- 1} \cdot (m^{3}) = x \cdot 2.2180147171875 \times 10^{- 5} \cdot (m^{3})

Cancel SI units

1.0 \times 2.9094976 \times 10^{- 1} \cdot (m^{3}) = x \times 2.2180147171875 \times 10^{- 5} \times (m^{3})

Conversion Equation

2.9094976 \times 10^{- 1} = x \times 2.2180147171875 \times 10^{- 5}

Cancel factors on both sides

Cancel factors

2.9094976 \times 10^{- 1} = x \times 2.2180147171875 \times {10^{- 5}}^{10^{- 4}}

Simplify

2.9094976 = x \times 2.2180147171875 \times 10^{- 4}

Switch sides

x \times 2.2180147171875 \times 10^{- 4} = 2.9094976

Isolate

x

Multiply both sides by

(\frac{1.0}{2.2180147171875 \times 10^{- 4}})

x \times 2.2180147171875 \times 10^{- 4} \times \frac{1.0}{2.2180147171875 \times 10^{- 4}} = 2.9094976 \times \frac{1.0}{2.2180147171875 \times 10^{- 4}}

Cancel

x \times 2.2180147171875 \times 10^{- 4} \times \frac{1.0}{2.2180147171875 \times 10^{- 4}} = 2.9094976 \times \frac{1.0}{2.2180147171875 \times 10^{- 4}}

Simplify

x = \frac{2.9094976}{2.2180147171875 \times 10^{- 4}}

Rewrite equation

\frac{1.0}{10^{- 4}} can be rewritten to 10^{4}

Rewrite

x = \frac{10^{4} \times 2.9094976}{2.2180147171875}

Solve

x

x \approx 13117.57572 \approx 1.3118 \times 10^{4}

Conversion Equation

1.0 (q u a r t e r) \approx 1.3118 \times 10^{4} (p o n y)

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