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Finding the Fourth Proportional to 110,996,942.60, 166,495,413.90 and 110,996,942.60

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Solution

The fourth proportional to 110,996,942.60, 166,495,413.90 and 110,996,942.60 is: 166,495,413.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,996,942.60 : 166,495,413.90 = 110,996,942.60 : x
  2. Step 2: Convert to fraction form
    110,996,942.60/166,495,413.90 = 110,996,942.60/x
  3. Step 3: Cross multiply
    110,996,942.60x = 166,495,413.90 × 110,996,942.60
  4. Step 4: Simplify right side
    110,996,942.60x = 18,480,481,899,821,540
  5. Step 5: Solve for x
    x = 18,480,481,899,821,540/110,996,942.60
  6. Step 6: Final answer
    x = 166,495,413.90

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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.