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Finding the Fourth Proportional to 173,840,957,073.78, 260,761,435,610.65 and 173,840,957,073.78

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Solution

The fourth proportional to 173,840,957,073.78, 260,761,435,610.65 and 173,840,957,073.78 is: 260,761,435,610.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,840,957,073.78 : 260,761,435,610.65 = 173,840,957,073.78 : x
  2. Step 2: Convert to fraction form
    173,840,957,073.78/260,761,435,610.65 = 173,840,957,073.78/x
  3. Step 3: Cross multiply
    173,840,957,073.78x = 260,761,435,610.65 × 173,840,957,073.78
  4. Step 4: Simplify right side
    173,840,957,073.78x = 45,331,017,534,488,251,990,016
  5. Step 5: Solve for x
    x = 45,331,017,534,488,251,990,016/173,840,957,073.78
  6. Step 6: Final answer
    x = 260,761,435,610.65

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1.5x scale

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.