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Finding the Fourth Proportional to 110,996,961.90, 166,495,442.85 and 110,996,961.90

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Solution

The fourth proportional to 110,996,961.90, 166,495,442.85 and 110,996,961.90 is: 166,495,442.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,996,961.90 : 166,495,442.85 = 110,996,961.90 : x
  2. Step 2: Convert to fraction form
    110,996,961.90/166,495,442.85 = 110,996,961.90/x
  3. Step 3: Cross multiply
    110,996,961.90x = 166,495,442.85 × 110,996,961.90
  4. Step 4: Simplify right side
    110,996,961.90x = 18,480,488,326,545,076
  5. Step 5: Solve for x
    x = 18,480,488,326,545,076/110,996,961.90
  6. Step 6: Final answer
    x = 166,495,442.85

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Why These Related Problems?

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