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Finding the Fourth Proportional to 398,609,548.80, 597,914,323.20 and 398,609,548.80

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Solution

The fourth proportional to 398,609,548.80, 597,914,323.20 and 398,609,548.80 is: 597,914,323.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,609,548.80 : 597,914,323.20 = 398,609,548.80 : x
  2. Step 2: Convert to fraction form
    398,609,548.80/597,914,323.20 = 398,609,548.80/x
  3. Step 3: Cross multiply
    398,609,548.80x = 597,914,323.20 × 398,609,548.80
  4. Step 4: Simplify right side
    398,609,548.80x = 238,334,358,591,809,408
  5. Step 5: Solve for x
    x = 238,334,358,591,809,408/398,609,548.80
  6. Step 6: Final answer
    x = 597,914,323.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.