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Finding the Fourth Proportional to 29,902,489,610.40, 44,853,734,415.60 and 29,902,489,610.40

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Solution

The fourth proportional to 29,902,489,610.40, 44,853,734,415.60 and 29,902,489,610.40 is: 44,853,734,415.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,902,489,610.40 : 44,853,734,415.60 = 29,902,489,610.40 : x
  2. Step 2: Convert to fraction form
    29,902,489,610.40/44,853,734,415.60 = 29,902,489,610.40/x
  3. Step 3: Cross multiply
    29,902,489,610.40x = 44,853,734,415.60 × 29,902,489,610.40
  4. Step 4: Simplify right side
    29,902,489,610.40x = 1,341,238,327,350,119,890,944
  5. Step 5: Solve for x
    x = 1,341,238,327,350,119,890,944/29,902,489,610.40
  6. Step 6: Final answer
    x = 44,853,734,415.60

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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.