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Finding the Fourth Proportional to 165,957,538.90, 232,680,676.70 and 165,957,538.90

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Solution

The fourth proportional to 165,957,538.90, 232,680,676.70 and 165,957,538.90 is: 232,680,676.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,957,538.90 : 232,680,676.70 = 165,957,538.90 : x
  2. Step 2: Convert to fraction form
    165,957,538.90/232,680,676.70 = 165,957,538.90/x
  3. Step 3: Cross multiply
    165,957,538.90x = 232,680,676.70 × 165,957,538.90
  4. Step 4: Simplify right side
    165,957,538.90x = 38,615,112,454,718,576
  5. Step 5: Solve for x
    x = 38,615,112,454,718,576/165,957,538.90
  6. Step 6: Final answer
    x = 232,680,676.70

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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.