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Finding the Fourth Proportional to 498,240,358.40, 747,360,537.60 and 475,565,542.40

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Solution

The fourth proportional to 498,240,358.40, 747,360,537.60 and 475,565,542.40 is: 713,348,313.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,240,358.40 : 747,360,537.60 = 475,565,542.40 : x
  2. Step 2: Convert to fraction form
    498,240,358.40/747,360,537.60 = 475,565,542.40/x
  3. Step 3: Cross multiply
    498,240,358.40x = 747,360,537.60 × 475,565,542.40
  4. Step 4: Simplify right side
    498,240,358.40x = 355,418,919,432,099,584
  5. Step 5: Solve for x
    x = 355,418,919,432,099,584/498,240,358.40
  6. Step 6: Final answer
    x = 713,348,313.60

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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.