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Finding the Fourth Proportional to 257,640,840.80, 386,328,874.80 and 75,864,399.20

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Solution

The fourth proportional to 257,640,840.80, 386,328,874.80 and 75,864,399.20 is: 113,757,616.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,640,840.80 : 386,328,874.80 = 75,864,399.20 : x
  2. Step 2: Convert to fraction form
    257,640,840.80/386,328,874.80 = 75,864,399.20/x
  3. Step 3: Cross multiply
    257,640,840.80x = 386,328,874.80 × 75,864,399.20
  4. Step 4: Simplify right side
    257,640,840.80x = 29,308,607,980,314,024
  5. Step 5: Solve for x
    x = 29,308,607,980,314,024/257,640,840.80
  6. Step 6: Final answer
    x = 113,757,616.57

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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.