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Finding the Fourth Proportional to 398,468,323.80, 550,062,611.73 and 257,408,323.20

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Solution

The fourth proportional to 398,468,323.80, 550,062,611.73 and 257,408,323.20 is: 355,337,390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,468,323.80 : 550,062,611.73 = 257,408,323.20 : x
  2. Step 2: Convert to fraction form
    398,468,323.80/550,062,611.73 = 257,408,323.20/x
  3. Step 3: Cross multiply
    398,468,323.80x = 550,062,611.73 × 257,408,323.20
  4. Step 4: Simplify right side
    398,468,323.80x = 141,590,694,540,431,952
  5. Step 5: Solve for x
    x = 141,590,694,540,431,952/398,468,323.80
  6. Step 6: Final answer
    x = 355,337,390.91

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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.