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Finding the Fourth Proportional to 756,659,677, 1,135,317,182.08 and 406,497,187.90

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Solution

The fourth proportional to 756,659,677, 1,135,317,182.08 and 406,497,187.90 is: 609,921,812.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,659,677 : 1,135,317,182.08 = 406,497,187.90 : x
  2. Step 2: Convert to fraction form
    756,659,677/1,135,317,182.08 = 406,497,187.90/x
  3. Step 3: Cross multiply
    756,659,677x = 1,135,317,182.08 × 406,497,187.90
  4. Step 4: Simplify right side
    756,659,677x = 461,503,241,890,072,192
  5. Step 5: Solve for x
    x = 461,503,241,890,072,192/756,659,677
  6. Step 6: Final answer
    x = 609,921,812.83

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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.