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Finding the Fourth Proportional to 830,641,569.90, 1,245,962,354.85 and 830,641,569.90

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Solution

The fourth proportional to 830,641,569.90, 1,245,962,354.85 and 830,641,569.90 is: 1,245,962,354.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,641,569.90 : 1,245,962,354.85 = 830,641,569.90 : x
  2. Step 2: Convert to fraction form
    830,641,569.90/1,245,962,354.85 = 830,641,569.90/x
  3. Step 3: Cross multiply
    830,641,569.90x = 1,245,962,354.85 × 830,641,569.90
  4. Step 4: Simplify right side
    830,641,569.90x = 1,034,948,126,468,904,832
  5. Step 5: Solve for x
    x = 1,034,948,126,468,904,832/830,641,569.90
  6. Step 6: Final answer
    x = 1,245,962,354.85

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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.