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Finding the Fourth Proportional to 165,957,539.40, 232,680,677.40 and 165,957,539.40

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Solution

The fourth proportional to 165,957,539.40, 232,680,677.40 and 165,957,539.40 is: 232,680,677.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,957,539.40 : 232,680,677.40 = 165,957,539.40 : x
  2. Step 2: Convert to fraction form
    165,957,539.40/232,680,677.40 = 165,957,539.40/x
  3. Step 3: Cross multiply
    165,957,539.40x = 232,680,677.40 × 165,957,539.40
  4. Step 4: Simplify right side
    165,957,539.40x = 38,615,112,687,229,192
  5. Step 5: Solve for x
    x = 38,615,112,687,229,192/165,957,539.40
  6. Step 6: Final answer
    x = 232,680,677.40

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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.