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Finding the Fourth Proportional to 13,486,537.65, 20,229,806.48 and 13,486,537.65

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Solution

The fourth proportional to 13,486,537.65, 20,229,806.48 and 13,486,537.65 is: 20,229,806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,486,537.65 : 20,229,806.48 = 13,486,537.65 : x
  2. Step 2: Convert to fraction form
    13,486,537.65/20,229,806.48 = 13,486,537.65/x
  3. Step 3: Cross multiply
    13,486,537.65x = 20,229,806.48 × 13,486,537.65
  4. Step 4: Simplify right side
    13,486,537.65x = 272,830,046,677,301.31
  5. Step 5: Solve for x
    x = 272,830,046,677,301.31/13,486,537.65
  6. Step 6: Final answer
    x = 20,229,806.48

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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.