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Finding the Fourth Proportional to 491,185,305.10, 736,777,957.65 and 491,185,305.10

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Solution

The fourth proportional to 491,185,305.10, 736,777,957.65 and 491,185,305.10 is: 736,777,957.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,185,305.10 : 736,777,957.65 = 491,185,305.10 : x
  2. Step 2: Convert to fraction form
    491,185,305.10/736,777,957.65 = 491,185,305.10/x
  3. Step 3: Cross multiply
    491,185,305.10x = 736,777,957.65 × 491,185,305.10
  4. Step 4: Simplify right side
    491,185,305.10x = 361,894,505,919,270,144
  5. Step 5: Solve for x
    x = 361,894,505,919,270,144/491,185,305.10
  6. Step 6: Final answer
    x = 736,777,957.65

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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.