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Finding the Fourth Proportional to 165,013,092,023.10, 247,519,638,034.65 and 165,013,092,023.10

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Solution

The fourth proportional to 165,013,092,023.10, 247,519,638,034.65 and 165,013,092,023.10 is: 247,519,638,034.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,013,092,023.10 : 247,519,638,034.65 = 165,013,092,023.10 : x
  2. Step 2: Convert to fraction form
    165,013,092,023.10/247,519,638,034.65 = 165,013,092,023.10/x
  3. Step 3: Cross multiply
    165,013,092,023.10x = 247,519,638,034.65 × 165,013,092,023.10
  4. Step 4: Simplify right side
    165,013,092,023.10x = 40,843,980,808,536,104,894,464
  5. Step 5: Solve for x
    x = 40,843,980,808,536,104,894,464/165,013,092,023.10
  6. Step 6: Final answer
    x = 247,519,638,034.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.