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Finding the Fourth Proportional to 51,205,366.20, 76,808,049.30 and 51,205,366.20

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Solution

The fourth proportional to 51,205,366.20, 76,808,049.30 and 51,205,366.20 is: 76,808,049.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,205,366.20 : 76,808,049.30 = 51,205,366.20 : x
  2. Step 2: Convert to fraction form
    51,205,366.20/76,808,049.30 = 51,205,366.20/x
  3. Step 3: Cross multiply
    51,205,366.20x = 76,808,049.30 × 51,205,366.20
  4. Step 4: Simplify right side
    51,205,366.20x = 3,932,984,291,514,153.50
  5. Step 5: Solve for x
    x = 3,932,984,291,514,153.50/51,205,366.20
  6. Step 6: Final answer
    x = 76,808,049.30

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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.