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Finding the Fourth Proportional to 502,019,977.10, 753,029,965.68 and 502,019,977.10

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Solution

The fourth proportional to 502,019,977.10, 753,029,965.68 and 502,019,977.10 is: 753,029,965.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,019,977.10 : 753,029,965.68 = 502,019,977.10 : x
  2. Step 2: Convert to fraction form
    502,019,977.10/753,029,965.68 = 502,019,977.10/x
  3. Step 3: Cross multiply
    502,019,977.10x = 753,029,965.68 × 502,019,977.10
  4. Step 4: Simplify right side
    502,019,977.10x = 378,036,086,126,287,360
  5. Step 5: Solve for x
    x = 378,036,086,126,287,360/502,019,977.10
  6. Step 6: Final answer
    x = 753,029,965.68

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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.