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Finding the Fourth Proportional to 960,337,211.86, 1,324,859,540.52 and 642,899,724.13

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Solution

The fourth proportional to 960,337,211.86, 1,324,859,540.52 and 642,899,724.13 is: 886,929,947.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,337,211.86 : 1,324,859,540.52 = 642,899,724.13 : x
  2. Step 2: Convert to fraction form
    960,337,211.86/1,324,859,540.52 = 642,899,724.13/x
  3. Step 3: Cross multiply
    960,337,211.86x = 1,324,859,540.52 × 642,899,724.13
  4. Step 4: Simplify right side
    960,337,211.86x = 851,751,833,111,306,496
  5. Step 5: Solve for x
    x = 851,751,833,111,306,496/960,337,211.86
  6. Step 6: Final answer
    x = 886,929,947.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.