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Finding the Fourth Proportional to 534,418,630,233.90, 801,627,945,350.85 and 534,418,630,233.90

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Solution

The fourth proportional to 534,418,630,233.90, 801,627,945,350.85 and 534,418,630,233.90 is: 801,627,945,350.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,418,630,233.90 : 801,627,945,350.85 = 534,418,630,233.90 : x
  2. Step 2: Convert to fraction form
    534,418,630,233.90/801,627,945,350.85 = 534,418,630,233.90/x
  3. Step 3: Cross multiply
    534,418,630,233.90x = 801,627,945,350.85 × 534,418,630,233.90
  4. Step 4: Simplify right side
    534,418,630,233.90x = 428,404,908,511,616,884,015,104
  5. Step 5: Solve for x
    x = 428,404,908,511,616,884,015,104/534,418,630,233.90
  6. Step 6: Final answer
    x = 801,627,945,350.85

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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.