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Finding the Fourth Proportional to 261,491,399.69, 360,874,452.00 and 144,016,700.15

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Solution

The fourth proportional to 261,491,399.69, 360,874,452.00 and 144,016,700.15 is: 198,752,034.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,491,399.69 : 360,874,452.00 = 144,016,700.15 : x
  2. Step 2: Convert to fraction form
    261,491,399.69/360,874,452.00 = 144,016,700.15/x
  3. Step 3: Cross multiply
    261,491,399.69x = 360,874,452.00 × 144,016,700.15
  4. Step 4: Simplify right side
    261,491,399.69x = 51,971,947,746,113,880
  5. Step 5: Solve for x
    x = 51,971,947,746,113,880/261,491,399.69
  6. Step 6: Final answer
    x = 198,752,034.71

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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.