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Finding the Fourth Proportional to 80,642,762.80, 120,964,144.20 and 29,526,449.20

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Solution

The fourth proportional to 80,642,762.80, 120,964,144.20 and 29,526,449.20 is: 44,289,673.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,642,762.80 : 120,964,144.20 = 29,526,449.20 : x
  2. Step 2: Convert to fraction form
    80,642,762.80/120,964,144.20 = 29,526,449.20/x
  3. Step 3: Cross multiply
    80,642,762.80x = 120,964,144.20 × 29,526,449.20
  4. Step 4: Simplify right side
    80,642,762.80x = 3,571,641,658,742,774.50
  5. Step 5: Solve for x
    x = 3,571,641,658,742,774.50/80,642,762.80
  6. Step 6: Final answer
    x = 44,289,673.80

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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.