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Finding the Fourth Proportional to 135,756,891,000.20, 203,635,336,500.30 and 135,756,891,000.20

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Solution

The fourth proportional to 135,756,891,000.20, 203,635,336,500.30 and 135,756,891,000.20 is: 203,635,336,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,756,891,000.20 : 203,635,336,500.30 = 135,756,891,000.20 : x
  2. Step 2: Convert to fraction form
    135,756,891,000.20/203,635,336,500.30 = 135,756,891,000.20/x
  3. Step 3: Cross multiply
    135,756,891,000.20x = 203,635,336,500.30 × 135,756,891,000.20
  4. Step 4: Simplify right side
    135,756,891,000.20x = 27,644,900,181,060,272,259,072
  5. Step 5: Solve for x
    x = 27,644,900,181,060,272,259,072/135,756,891,000.20
  6. Step 6: Final answer
    x = 203,635,336,500.30

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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.