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Finding the Fourth Proportional to 13,937,201.10, 20,905,801.65 and 13,937,201.10

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Solution

The fourth proportional to 13,937,201.10, 20,905,801.65 and 13,937,201.10 is: 20,905,801.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,937,201.10 : 20,905,801.65 = 13,937,201.10 : x
  2. Step 2: Convert to fraction form
    13,937,201.10/20,905,801.65 = 13,937,201.10/x
  3. Step 3: Cross multiply
    13,937,201.10x = 20,905,801.65 × 13,937,201.10
  4. Step 4: Simplify right side
    13,937,201.10x = 291,368,361,752,761.81
  5. Step 5: Solve for x
    x = 291,368,361,752,761.81/13,937,201.10
  6. Step 6: Final answer
    x = 20,905,801.65

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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.