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Finding the Fourth Proportional to 51,586,682.20, 77,380,023.30 and 51,586,682.20

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Solution

The fourth proportional to 51,586,682.20, 77,380,023.30 and 51,586,682.20 is: 77,380,023.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,586,682.20 : 77,380,023.30 = 51,586,682.20 : x
  2. Step 2: Convert to fraction form
    51,586,682.20/77,380,023.30 = 51,586,682.20/x
  3. Step 3: Cross multiply
    51,586,682.20x = 77,380,023.30 × 51,586,682.20
  4. Step 4: Simplify right side
    51,586,682.20x = 3,991,778,670,605,695.50
  5. Step 5: Solve for x
    x = 3,991,778,670,605,695.50/51,586,682.20
  6. Step 6: Final answer
    x = 77,380,023.30

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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.