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Finding the Fourth Proportional to 165,957,540.40, 232,680,678.80 and 165,957,540.40

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Solution

The fourth proportional to 165,957,540.40, 232,680,678.80 and 165,957,540.40 is: 232,680,678.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,957,540.40 : 232,680,678.80 = 165,957,540.40 : x
  2. Step 2: Convert to fraction form
    165,957,540.40/232,680,678.80 = 165,957,540.40/x
  3. Step 3: Cross multiply
    165,957,540.40x = 232,680,678.80 × 165,957,540.40
  4. Step 4: Simplify right side
    165,957,540.40x = 38,615,113,152,250,424
  5. Step 5: Solve for x
    x = 38,615,113,152,250,424/165,957,540.40
  6. Step 6: Final answer
    x = 232,680,678.80

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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.