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Finding the Fourth Proportional to 202,463,998.70, 303,695,998.05 and 133,589,245.10

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Solution

The fourth proportional to 202,463,998.70, 303,695,998.05 and 133,589,245.10 is: 200,383,867.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,463,998.70 : 303,695,998.05 = 133,589,245.10 : x
  2. Step 2: Convert to fraction form
    202,463,998.70/303,695,998.05 = 133,589,245.10/x
  3. Step 3: Cross multiply
    202,463,998.70x = 303,695,998.05 × 133,589,245.10
  4. Step 4: Simplify right side
    202,463,998.70x = 40,570,519,119,390,568
  5. Step 5: Solve for x
    x = 40,570,519,119,390,568/202,463,998.70
  6. Step 6: Final answer
    x = 200,383,867.65

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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.