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Finding the Fourth Proportional to 54,682,493.40, 82,023,740.10 and 54,682,493.40

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Solution

The fourth proportional to 54,682,493.40, 82,023,740.10 and 54,682,493.40 is: 82,023,740.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,682,493.40 : 82,023,740.10 = 54,682,493.40 : x
  2. Step 2: Convert to fraction form
    54,682,493.40/82,023,740.10 = 54,682,493.40/x
  3. Step 3: Cross multiply
    54,682,493.40x = 82,023,740.10 × 54,682,493.40
  4. Step 4: Simplify right side
    54,682,493.40x = 4,485,262,626,661,565
  5. Step 5: Solve for x
    x = 4,485,262,626,661,565/54,682,493.40
  6. Step 6: Final answer
    x = 82,023,740.10

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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.