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Finding the Fourth Proportional to 165,957,546.15, 232,680,686.85 and 165,957,546.15

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Solution

The fourth proportional to 165,957,546.15, 232,680,686.85 and 165,957,546.15 is: 232,680,686.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,957,546.15 : 232,680,686.85 = 165,957,546.15 : x
  2. Step 2: Convert to fraction form
    165,957,546.15/232,680,686.85 = 165,957,546.15/x
  3. Step 3: Cross multiply
    165,957,546.15x = 232,680,686.85 × 165,957,546.15
  4. Step 4: Simplify right side
    165,957,546.15x = 38,615,115,826,122,576
  5. Step 5: Solve for x
    x = 38,615,115,826,122,576/165,957,546.15
  6. Step 6: Final answer
    x = 232,680,686.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.