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Finding the Fourth Proportional to 40,864,534,697.70, 61,296,802,046.55 and 40,864,534,697.70

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Solution

The fourth proportional to 40,864,534,697.70, 61,296,802,046.55 and 40,864,534,697.70 is: 61,296,802,046.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,864,534,697.70 : 61,296,802,046.55 = 40,864,534,697.70 : x
  2. Step 2: Convert to fraction form
    40,864,534,697.70/61,296,802,046.55 = 40,864,534,697.70/x
  3. Step 3: Cross multiply
    40,864,534,697.70x = 61,296,802,046.55 × 40,864,534,697.70
  4. Step 4: Simplify right side
    40,864,534,697.70x = 2,504,865,294,089,291,038,720
  5. Step 5: Solve for x
    x = 2,504,865,294,089,291,038,720/40,864,534,697.70
  6. Step 6: Final answer
    x = 61,296,802,046.55

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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.