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Finding the Fourth Proportional to 502,190,391.93, 753,300,645.39 and 415,429,327.14

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Solution

The fourth proportional to 502,190,391.93, 753,300,645.39 and 415,429,327.14 is: 623,156,446.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,190,391.93 : 753,300,645.39 = 415,429,327.14 : x
  2. Step 2: Convert to fraction form
    502,190,391.93/753,300,645.39 = 415,429,327.14/x
  3. Step 3: Cross multiply
    502,190,391.93x = 753,300,645.39 × 415,429,327.14
  4. Step 4: Simplify right side
    502,190,391.93x = 312,943,180,248,495,424
  5. Step 5: Solve for x
    x = 312,943,180,248,495,424/502,190,391.93
  6. Step 6: Final answer
    x = 623,156,446.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.