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Finding the Fourth Proportional to 43,282,930,179.90, 64,924,395,269.85 and 43,282,930,179.90

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Solution

The fourth proportional to 43,282,930,179.90, 64,924,395,269.85 and 43,282,930,179.90 is: 64,924,395,269.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,282,930,179.90 : 64,924,395,269.85 = 43,282,930,179.90 : x
  2. Step 2: Convert to fraction form
    43,282,930,179.90/64,924,395,269.85 = 43,282,930,179.90/x
  3. Step 3: Cross multiply
    43,282,930,179.90x = 64,924,395,269.85 × 43,282,930,179.90
  4. Step 4: Simplify right side
    43,282,930,179.90x = 2,810,118,067,437,147,521,024
  5. Step 5: Solve for x
    x = 2,810,118,067,437,147,521,024/43,282,930,179.90
  6. Step 6: Final answer
    x = 64,924,395,269.85

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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.