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Finding the Fourth Proportional to 27,568,378.80, 41,352,568.20 and 27,568,378.80

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Solution

The fourth proportional to 27,568,378.80, 41,352,568.20 and 27,568,378.80 is: 41,352,568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,568,378.80 : 41,352,568.20 = 27,568,378.80 : x
  2. Step 2: Convert to fraction form
    27,568,378.80/41,352,568.20 = 27,568,378.80/x
  3. Step 3: Cross multiply
    27,568,378.80x = 41,352,568.20 × 27,568,378.80
  4. Step 4: Simplify right side
    27,568,378.80x = 1,140,023,264,490,434.25
  5. Step 5: Solve for x
    x = 1,140,023,264,490,434.25/27,568,378.80
  6. Step 6: Final answer
    x = 41,352,568.20

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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.