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Finding the Fourth Proportional to 267,993,640.80, 401,990,461.20 and 106,435,576.80

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Solution

The fourth proportional to 267,993,640.80, 401,990,461.20 and 106,435,576.80 is: 159,653,365.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,993,640.80 : 401,990,461.20 = 106,435,576.80 : x
  2. Step 2: Convert to fraction form
    267,993,640.80/401,990,461.20 = 106,435,576.80/x
  3. Step 3: Cross multiply
    267,993,640.80x = 401,990,461.20 × 106,435,576.80
  4. Step 4: Simplify right side
    267,993,640.80x = 42,786,086,605,920,016
  5. Step 5: Solve for x
    x = 42,786,086,605,920,016/267,993,640.80
  6. Step 6: Final answer
    x = 159,653,365.20

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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.