Finding the Fourth Proportional to 314,930,784.70, 472,396,177.05 and 142,413,226.30
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Solution
The fourth proportional to 314,930,784.70, 472,396,177.05 and 142,413,226.30 is: 213,619,839.45
Step by Step Solution
- Step 1: Write the proportion equation
314,930,784.70 : 472,396,177.05 = 142,413,226.30 : x - Step 2: Convert to fraction form
314,930,784.70/472,396,177.05 = 142,413,226.30/x - Step 3: Cross multiply
314,930,784.70x = 472,396,177.05 × 142,413,226.30 - Step 4: Simplify right side
314,930,784.70x = 67,275,463,665,476,520 - Step 5: Solve for x
x = 67,275,463,665,476,520/314,930,784.70 - Step 6: Final answer
x = 213,619,839.45
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.