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Finding the Fourth Proportional to 399,401,836.20, 599,102,754.30 and 399,401,836.20

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Solution

The fourth proportional to 399,401,836.20, 599,102,754.30 and 399,401,836.20 is: 599,102,754.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,401,836.20 : 599,102,754.30 = 399,401,836.20 : x
  2. Step 2: Convert to fraction form
    399,401,836.20/599,102,754.30 = 399,401,836.20/x
  3. Step 3: Cross multiply
    399,401,836.20x = 599,102,754.30 × 399,401,836.20
  4. Step 4: Simplify right side
    399,401,836.20x = 239,282,740,139,897,408
  5. Step 5: Solve for x
    x = 239,282,740,139,897,408/399,401,836.20
  6. Step 6: Final answer
    x = 599,102,754.30

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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.