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Finding the Fourth Proportional to 398,655,344.20, 597,983,016.30 and 398,655,344.20

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Solution

The fourth proportional to 398,655,344.20, 597,983,016.30 and 398,655,344.20 is: 597,983,016.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,655,344.20 : 597,983,016.30 = 398,655,344.20 : x
  2. Step 2: Convert to fraction form
    398,655,344.20/597,983,016.30 = 398,655,344.20/x
  3. Step 3: Cross multiply
    398,655,344.20x = 597,983,016.30 × 398,655,344.20
  4. Step 4: Simplify right side
    398,655,344.20x = 238,389,125,188,830,688
  5. Step 5: Solve for x
    x = 238,389,125,188,830,688/398,655,344.20
  6. Step 6: Final answer
    x = 597,983,016.30

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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.