Finding the Fourth Proportional to 213,025,886,027.28, 293,972,089,505.12 and 115,366,735,519.68
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Solution
The fourth proportional to 213,025,886,027.28, 293,972,089,505.12 and 115,366,735,519.68 is: 159,204,127,407.14
Step by Step Solution
- Step 1: Write the proportion equation
213,025,886,027.28 : 293,972,089,505.12 = 115,366,735,519.68 : x - Step 2: Convert to fraction form
213,025,886,027.28/293,972,089,505.12 = 115,366,735,519.68/x - Step 3: Cross multiply
213,025,886,027.28x = 293,972,089,505.12 × 115,366,735,519.68 - Step 4: Simplify right side
213,025,886,027.28x = 33,914,600,300,104,873,148,416 - Step 5: Solve for x
x = 33,914,600,300,104,873,148,416/213,025,886,027.28 - Step 6: Final answer
x = 159,204,127,407.14
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.