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Finding the Fourth Proportional to 100,642,329.41, 150,946,677.44 and 27,866,466.72

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Solution

The fourth proportional to 100,642,329.41, 150,946,677.44 and 27,866,466.72 is: 41,795,043.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,642,329.41 : 150,946,677.44 = 27,866,466.72 : x
  2. Step 2: Convert to fraction form
    100,642,329.41/150,946,677.44 = 27,866,466.72/x
  3. Step 3: Cross multiply
    100,642,329.41x = 150,946,677.44 × 27,866,466.72
  4. Step 4: Simplify right side
    100,642,329.41x = 4,206,350,563,341,501.50
  5. Step 5: Solve for x
    x = 4,206,350,563,341,501.50/100,642,329.41
  6. Step 6: Final answer
    x = 41,795,043.78

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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.