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Finding the Fourth Proportional to 24,586,257.30, 34,471,148.70 and 24,586,257.30

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Solution

The fourth proportional to 24,586,257.30, 34,471,148.70 and 24,586,257.30 is: 34,471,148.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,586,257.30 : 34,471,148.70 = 24,586,257.30 : x
  2. Step 2: Convert to fraction form
    24,586,257.30/34,471,148.70 = 24,586,257.30/x
  3. Step 3: Cross multiply
    24,586,257.30x = 34,471,148.70 × 24,586,257.30
  4. Step 4: Simplify right side
    24,586,257.30x = 847,516,531,364,760.62
  5. Step 5: Solve for x
    x = 847,516,531,364,760.62/24,586,257.30
  6. Step 6: Final answer
    x = 34,471,148.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.