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Finding the Fourth Proportional to 82,971,301.95, 124,217,804.48 and 82,971,301.95

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Solution

The fourth proportional to 82,971,301.95, 124,217,804.48 and 82,971,301.95 is: 124,217,804.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,971,301.95 : 124,217,804.48 = 82,971,301.95 : x
  2. Step 2: Convert to fraction form
    82,971,301.95/124,217,804.48 = 82,971,301.95/x
  3. Step 3: Cross multiply
    82,971,301.95x = 124,217,804.48 × 82,971,301.95
  4. Step 4: Simplify right side
    82,971,301.95x = 10,306,512,962,661,286
  5. Step 5: Solve for x
    x = 10,306,512,962,661,286/82,971,301.95
  6. Step 6: Final answer
    x = 124,217,804.48

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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.