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Finding the Fourth Proportional to 498,074,920.32, 747,565,751.03 and 265,101,224.25

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Solution

The fourth proportional to 498,074,920.32, 747,565,751.03 and 265,101,224.25 is: 397,893,143.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,074,920.32 : 747,565,751.03 = 265,101,224.25 : x
  2. Step 2: Convert to fraction form
    498,074,920.32/747,565,751.03 = 265,101,224.25/x
  3. Step 3: Cross multiply
    498,074,920.32x = 747,565,751.03 × 265,101,224.25
  4. Step 4: Simplify right side
    498,074,920.32x = 198,180,595,804,098,176
  5. Step 5: Solve for x
    x = 198,180,595,804,098,176/498,074,920.32
  6. Step 6: Final answer
    x = 397,893,143.62

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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.