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Finding the Fourth Proportional to 9,086,042,766.60, 13,629,064,149.90 and 9,086,042,766.60

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Solution

The fourth proportional to 9,086,042,766.60, 13,629,064,149.90 and 9,086,042,766.60 is: 13,629,064,149.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,086,042,766.60 : 13,629,064,149.90 = 9,086,042,766.60 : x
  2. Step 2: Convert to fraction form
    9,086,042,766.60/13,629,064,149.90 = 9,086,042,766.60/x
  3. Step 3: Cross multiply
    9,086,042,766.60x = 13,629,064,149.90 × 9,086,042,766.60
  4. Step 4: Simplify right side
    9,086,042,766.60x = 123,834,259,734,726,279,168
  5. Step 5: Solve for x
    x = 123,834,259,734,726,279,168/9,086,042,766.60
  6. Step 6: Final answer
    x = 13,629,064,149.90

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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.