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Finding the Fourth Proportional to 399,177,998.40, 598,766,997.60 and 369,318,158.40

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Solution

The fourth proportional to 399,177,998.40, 598,766,997.60 and 369,318,158.40 is: 553,977,237.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,177,998.40 : 598,766,997.60 = 369,318,158.40 : x
  2. Step 2: Convert to fraction form
    399,177,998.40/598,766,997.60 = 369,318,158.40/x
  3. Step 3: Cross multiply
    399,177,998.40x = 598,766,997.60 × 369,318,158.40
  4. Step 4: Simplify right side
    399,177,998.40x = 221,135,524,864,329,216
  5. Step 5: Solve for x
    x = 221,135,524,864,329,216/399,177,998.40
  6. Step 6: Final answer
    x = 553,977,237.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.