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Finding the Fourth Proportional to 24,194,818,200.85, 36,292,227,301.28 and 24,194,818,200.85

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Solution

The fourth proportional to 24,194,818,200.85, 36,292,227,301.28 and 24,194,818,200.85 is: 36,292,227,301.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,194,818,200.85 : 36,292,227,301.28 = 24,194,818,200.85 : x
  2. Step 2: Convert to fraction form
    24,194,818,200.85/36,292,227,301.28 = 24,194,818,200.85/x
  3. Step 3: Cross multiply
    24,194,818,200.85x = 36,292,227,301.28 × 24,194,818,200.85
  4. Step 4: Simplify right side
    24,194,818,200.85x = 878,083,841,658,273,660,928
  5. Step 5: Solve for x
    x = 878,083,841,658,273,660,928/24,194,818,200.85
  6. Step 6: Final answer
    x = 36,292,227,301.28

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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.