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Finding the Fourth Proportional to 534,418,630,377.90, 801,627,945,566.85 and 534,418,630,377.90

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Solution

The fourth proportional to 534,418,630,377.90, 801,627,945,566.85 and 534,418,630,377.90 is: 801,627,945,566.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,418,630,377.90 : 801,627,945,566.85 = 534,418,630,377.90 : x
  2. Step 2: Convert to fraction form
    534,418,630,377.90/801,627,945,566.85 = 534,418,630,377.90/x
  3. Step 3: Cross multiply
    534,418,630,377.90x = 801,627,945,566.85 × 534,418,630,377.90
  4. Step 4: Simplify right side
    534,418,630,377.90x = 428,404,908,742,485,737,472,000
  5. Step 5: Solve for x
    x = 428,404,908,742,485,737,472,000/534,418,630,377.90
  6. Step 6: Final answer
    x = 801,627,945,566.85

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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.