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Finding the Fourth Proportional to 13,828,540.70, 20,702,952.97 and 13,828,540.70

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Solution

The fourth proportional to 13,828,540.70, 20,702,952.97 and 13,828,540.70 is: 20,702,952.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,828,540.70 : 20,702,952.97 = 13,828,540.70 : x
  2. Step 2: Convert to fraction form
    13,828,540.70/20,702,952.97 = 13,828,540.70/x
  3. Step 3: Cross multiply
    13,828,540.70x = 20,702,952.97 × 13,828,540.70
  4. Step 4: Simplify right side
    13,828,540.70x = 286,291,627,755,830.88
  5. Step 5: Solve for x
    x = 286,291,627,755,830.88/13,828,540.70
  6. Step 6: Final answer
    x = 20,702,952.97

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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.