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Finding the Fourth Proportional to 406,945,909.80, 610,418,864.70 and 391,073,538.60

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Solution

The fourth proportional to 406,945,909.80, 610,418,864.70 and 391,073,538.60 is: 586,610,307.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,945,909.80 : 610,418,864.70 = 391,073,538.60 : x
  2. Step 2: Convert to fraction form
    406,945,909.80/610,418,864.70 = 391,073,538.60/x
  3. Step 3: Cross multiply
    406,945,909.80x = 610,418,864.70 × 391,073,538.60
  4. Step 4: Simplify right side
    406,945,909.80x = 238,718,665,446,423,648
  5. Step 5: Solve for x
    x = 238,718,665,446,423,648/406,945,909.80
  6. Step 6: Final answer
    x = 586,610,307.90

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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.