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Finding the Fourth Proportional to 500,949,326.20, 751,447,608.94 and 413,348,363.16

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Solution

The fourth proportional to 500,949,326.20, 751,447,608.94 and 413,348,363.16 is: 620,042,034.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,949,326.20 : 751,447,608.94 = 413,348,363.16 : x
  2. Step 2: Convert to fraction form
    500,949,326.20/751,447,608.94 = 413,348,363.16/x
  3. Step 3: Cross multiply
    500,949,326.20x = 751,447,608.94 × 413,348,363.16
  4. Step 4: Simplify right side
    500,949,326.20x = 310,609,639,155,844,800
  5. Step 5: Solve for x
    x = 310,609,639,155,844,800/500,949,326.20
  6. Step 6: Final answer
    x = 620,042,034.02

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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.