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Finding the Fourth Proportional to 337,003,698.20, 472,442,187.40 and 337,003,698.20

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Solution

The fourth proportional to 337,003,698.20, 472,442,187.40 and 337,003,698.20 is: 472,442,187.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,003,698.20 : 472,442,187.40 = 337,003,698.20 : x
  2. Step 2: Convert to fraction form
    337,003,698.20/472,442,187.40 = 337,003,698.20/x
  3. Step 3: Cross multiply
    337,003,698.20x = 472,442,187.40 × 337,003,698.20
  4. Step 4: Simplify right side
    337,003,698.20x = 159,214,764,339,497,440
  5. Step 5: Solve for x
    x = 159,214,764,339,497,440/337,003,698.20
  6. Step 6: Final answer
    x = 472,442,187.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.