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Finding the Fourth Proportional to 165,957,565.15, 232,680,713.45 and 165,957,565.15

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Solution

The fourth proportional to 165,957,565.15, 232,680,713.45 and 165,957,565.15 is: 232,680,713.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,957,565.15 : 232,680,713.45 = 165,957,565.15 : x
  2. Step 2: Convert to fraction form
    165,957,565.15/232,680,713.45 = 165,957,565.15/x
  3. Step 3: Cross multiply
    165,957,565.15x = 232,680,713.45 × 165,957,565.15
  4. Step 4: Simplify right side
    165,957,565.15x = 38,615,124,661,526,856
  5. Step 5: Solve for x
    x = 38,615,124,661,526,856/165,957,565.15
  6. Step 6: Final answer
    x = 232,680,713.45

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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.