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Finding the Fourth Proportional to 24,194,818,213.60, 36,292,227,320.40 and 24,194,818,213.60

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Solution

The fourth proportional to 24,194,818,213.60, 36,292,227,320.40 and 24,194,818,213.60 is: 36,292,227,320.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,194,818,213.60 : 36,292,227,320.40 = 24,194,818,213.60 : x
  2. Step 2: Convert to fraction form
    24,194,818,213.60/36,292,227,320.40 = 24,194,818,213.60/x
  3. Step 3: Cross multiply
    24,194,818,213.60x = 36,292,227,320.40 × 24,194,818,213.60
  4. Step 4: Simplify right side
    24,194,818,213.60x = 878,083,842,583,725,473,792
  5. Step 5: Solve for x
    x = 878,083,842,583,725,473,792/24,194,818,213.60
  6. Step 6: Final answer
    x = 36,292,227,320.40

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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.