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Finding the Fourth Proportional to 442,848,909.90, 664,273,364.85 and 442,848,909.90

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Solution

The fourth proportional to 442,848,909.90, 664,273,364.85 and 442,848,909.90 is: 664,273,364.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,848,909.90 : 664,273,364.85 = 442,848,909.90 : x
  2. Step 2: Convert to fraction form
    442,848,909.90/664,273,364.85 = 442,848,909.90/x
  3. Step 3: Cross multiply
    442,848,909.90x = 664,273,364.85 × 442,848,909.90
  4. Step 4: Simplify right side
    442,848,909.90x = 294,172,735,499,427,456
  5. Step 5: Solve for x
    x = 294,172,735,499,427,456/442,848,909.90
  6. Step 6: Final answer
    x = 664,273,364.85

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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.