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Finding the Fourth Proportional to 261,491,407.01, 360,874,462.11 and 144,016,706.11

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Solution

The fourth proportional to 261,491,407.01, 360,874,462.11 and 144,016,706.11 is: 198,752,042.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,491,407.01 : 360,874,462.11 = 144,016,706.11 : x
  2. Step 2: Convert to fraction form
    261,491,407.01/360,874,462.11 = 144,016,706.11/x
  3. Step 3: Cross multiply
    261,491,407.01x = 360,874,462.11 × 144,016,706.11
  4. Step 4: Simplify right side
    261,491,407.01x = 51,971,951,352,300,208
  5. Step 5: Solve for x
    x = 51,971,951,352,300,208/261,491,407.01
  6. Step 6: Final answer
    x = 198,752,042.93

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Why These Related Problems?

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