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Finding the Fourth Proportional to 360,876,265.16, 498,014,023.46 and 195,865,812.68

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Solution

The fourth proportional to 360,876,265.16, 498,014,023.46 and 195,865,812.68 is: 270,297,414.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,876,265.16 : 498,014,023.46 = 195,865,812.68 : x
  2. Step 2: Convert to fraction form
    360,876,265.16/498,014,023.46 = 195,865,812.68/x
  3. Step 3: Cross multiply
    360,876,265.16x = 498,014,023.46 × 195,865,812.68
  4. Step 4: Simplify right side
    360,876,265.16x = 97,543,921,431,029,488
  5. Step 5: Solve for x
    x = 97,543,921,431,029,488/360,876,265.16
  6. Step 6: Final answer
    x = 270,297,414.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.