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Finding the Fourth Proportional to 491,115,200.85, 736,672,801.28 and 491,115,200.85

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Solution

The fourth proportional to 491,115,200.85, 736,672,801.28 and 491,115,200.85 is: 736,672,801.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,115,200.85 : 736,672,801.28 = 491,115,200.85 : x
  2. Step 2: Convert to fraction form
    491,115,200.85/736,672,801.28 = 491,115,200.85/x
  3. Step 3: Cross multiply
    491,115,200.85x = 736,672,801.28 × 491,115,200.85
  4. Step 4: Simplify right side
    491,115,200.85x = 361,791,210,758,903,744
  5. Step 5: Solve for x
    x = 361,791,210,758,903,744/491,115,200.85
  6. Step 6: Final answer
    x = 736,672,801.28

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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.