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Finding the Fourth Proportional to 898,121,013.90, 1,347,181,520.85 and 898,121,013.90

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Solution

The fourth proportional to 898,121,013.90, 1,347,181,520.85 and 898,121,013.90 is: 1,347,181,520.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,121,013.90 : 1,347,181,520.85 = 898,121,013.90 : x
  2. Step 2: Convert to fraction form
    898,121,013.90/1,347,181,520.85 = 898,121,013.90/x
  3. Step 3: Cross multiply
    898,121,013.90x = 1,347,181,520.85 × 898,121,013.90
  4. Step 4: Simplify right side
    898,121,013.90x = 1,209,932,033,413,145,856
  5. Step 5: Solve for x
    x = 1,209,932,033,413,145,856/898,121,013.90
  6. Step 6: Final answer
    x = 1,347,181,520.85

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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.