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Finding the Fourth Proportional to 398,601,219.80, 597,901,829.70 and 398,601,219.80

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Solution

The fourth proportional to 398,601,219.80, 597,901,829.70 and 398,601,219.80 is: 597,901,829.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,601,219.80 : 597,901,829.70 = 398,601,219.80 : x
  2. Step 2: Convert to fraction form
    398,601,219.80/597,901,829.70 = 398,601,219.80/x
  3. Step 3: Cross multiply
    398,601,219.80x = 597,901,829.70 × 398,601,219.80
  4. Step 4: Simplify right side
    398,601,219.80x = 238,324,398,639,071,904
  5. Step 5: Solve for x
    x = 238,324,398,639,071,904/398,601,219.80
  6. Step 6: Final answer
    x = 597,901,829.70

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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.