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Finding the Fourth Proportional to 165,957,539.90, 232,680,678.10 and 165,957,539.90

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Solution

The fourth proportional to 165,957,539.90, 232,680,678.10 and 165,957,539.90 is: 232,680,678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,957,539.90 : 232,680,678.10 = 165,957,539.90 : x
  2. Step 2: Convert to fraction form
    165,957,539.90/232,680,678.10 = 165,957,539.90/x
  3. Step 3: Cross multiply
    165,957,539.90x = 232,680,678.10 × 165,957,539.90
  4. Step 4: Simplify right side
    165,957,539.90x = 38,615,112,919,739,808
  5. Step 5: Solve for x
    x = 38,615,112,919,739,808/165,957,539.90
  6. Step 6: Final answer
    x = 232,680,678.10

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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.