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Finding the Fourth Proportional to 500,949,313.38, 751,447,589.67 and 413,348,350.41

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Solution

The fourth proportional to 500,949,313.38, 751,447,589.67 and 413,348,350.41 is: 620,042,014.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,949,313.38 : 751,447,589.67 = 413,348,350.41 : x
  2. Step 2: Convert to fraction form
    500,949,313.38/751,447,589.67 = 413,348,350.41/x
  3. Step 3: Cross multiply
    500,949,313.38x = 751,447,589.67 × 413,348,350.41
  4. Step 4: Simplify right side
    500,949,313.38x = 310,609,621,609,665,088
  5. Step 5: Solve for x
    x = 310,609,621,609,665,088/500,949,313.38
  6. Step 6: Final answer
    x = 620,042,014.86

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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.