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Finding the Fourth Proportional to 20,902,169,469.20, 31,353,254,203.80 and 20,902,169,469.20

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Solution

The fourth proportional to 20,902,169,469.20, 31,353,254,203.80 and 20,902,169,469.20 is: 31,353,254,203.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,902,169,469.20 : 31,353,254,203.80 = 20,902,169,469.20 : x
  2. Step 2: Convert to fraction form
    20,902,169,469.20/31,353,254,203.80 = 20,902,169,469.20/x
  3. Step 3: Cross multiply
    20,902,169,469.20x = 31,353,254,203.80 × 20,902,169,469.20
  4. Step 4: Simplify right side
    20,902,169,469.20x = 655,351,032,778,734,960,640
  5. Step 5: Solve for x
    x = 655,351,032,778,734,960,640/20,902,169,469.20
  6. Step 6: Final answer
    x = 31,353,254,203.80

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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.