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Finding the Fourth Proportional to 402,002,163.60, 603,003,245.40 and 264,252,656.40

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Solution

The fourth proportional to 402,002,163.60, 603,003,245.40 and 264,252,656.40 is: 396,378,984.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,002,163.60 : 603,003,245.40 = 264,252,656.40 : x
  2. Step 2: Convert to fraction form
    402,002,163.60/603,003,245.40 = 264,252,656.40/x
  3. Step 3: Cross multiply
    402,002,163.60x = 603,003,245.40 × 264,252,656.40
  4. Step 4: Simplify right side
    402,002,163.60x = 159,345,209,414,771,072
  5. Step 5: Solve for x
    x = 159,345,209,414,771,072/402,002,163.60
  6. Step 6: Final answer
    x = 396,378,984.60

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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.