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Finding the Fourth Proportional to 3,402,129,732,002.20, 5,103,194,598,003.20 and 3,402,129,732,002.20

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Solution

The fourth proportional to 3,402,129,732,002.20, 5,103,194,598,003.20 and 3,402,129,732,002.20 is: 5,103,194,598,003.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402,129,732,002.20 : 5,103,194,598,003.20 = 3,402,129,732,002.20 : x
  2. Step 2: Convert to fraction form
    3,402,129,732,002.20/5,103,194,598,003.20 = 3,402,129,732,002.20/x
  3. Step 3: Cross multiply
    3,402,129,732,002.20x = 5,103,194,598,003.20 × 3,402,129,732,002.20
  4. Step 4: Simplify right side
    3,402,129,732,002.20x = 17,361,730,070,059,704,305,844,224
  5. Step 5: Solve for x
    x = 17,361,730,070,059,704,305,844,224/3,402,129,732,002.20
  6. Step 6: Final answer
    x = 5,103,194,598,003.20

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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.