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Finding the Fourth Proportional to 202,189,665.60, 303,284,498.40 and 100,152,993.60

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Solution

The fourth proportional to 202,189,665.60, 303,284,498.40 and 100,152,993.60 is: 150,229,490.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,189,665.60 : 303,284,498.40 = 100,152,993.60 : x
  2. Step 2: Convert to fraction form
    202,189,665.60/303,284,498.40 = 100,152,993.60/x
  3. Step 3: Cross multiply
    202,189,665.60x = 303,284,498.40 × 100,152,993.60
  4. Step 4: Simplify right side
    202,189,665.60x = 30,374,850,427,234,408
  5. Step 5: Solve for x
    x = 30,374,850,427,234,408/202,189,665.60
  6. Step 6: Final answer
    x = 150,229,490.40

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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.