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Finding the Fourth Proportional to 398,468,334.80, 550,062,626.92 and 257,408,334.20

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Solution

The fourth proportional to 398,468,334.80, 550,062,626.92 and 257,408,334.20 is: 355,337,406.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,468,334.80 : 550,062,626.92 = 257,408,334.20 : x
  2. Step 2: Convert to fraction form
    398,468,334.80/550,062,626.92 = 257,408,334.20/x
  3. Step 3: Cross multiply
    398,468,334.80x = 550,062,626.92 × 257,408,334.20
  4. Step 4: Simplify right side
    398,468,334.80x = 141,590,704,501,153,264
  5. Step 5: Solve for x
    x = 141,590,704,501,153,264/398,468,334.80
  6. Step 6: Final answer
    x = 355,337,406.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.