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Finding the Fourth Proportional to 80,657,194,224.80, 120,985,791,337.20 and 80,657,194,224.80

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Solution

The fourth proportional to 80,657,194,224.80, 120,985,791,337.20 and 80,657,194,224.80 is: 120,985,791,337.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,657,194,224.80 : 120,985,791,337.20 = 80,657,194,224.80 : x
  2. Step 2: Convert to fraction form
    80,657,194,224.80/120,985,791,337.20 = 80,657,194,224.80/x
  3. Step 3: Cross multiply
    80,657,194,224.80x = 120,985,791,337.20 × 80,657,194,224.80
  4. Step 4: Simplify right side
    80,657,194,224.80x = 9,758,374,470,325,666,578,432
  5. Step 5: Solve for x
    x = 9,758,374,470,325,666,578,432/80,657,194,224.80
  6. Step 6: Final answer
    x = 120,985,791,337.20

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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.