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Finding the Fourth Proportional to 97,788,658.60, 146,682,987.90 and 82,004,860.90

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Solution

The fourth proportional to 97,788,658.60, 146,682,987.90 and 82,004,860.90 is: 123,007,291.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,788,658.60 : 146,682,987.90 = 82,004,860.90 : x
  2. Step 2: Convert to fraction form
    97,788,658.60/146,682,987.90 = 82,004,860.90/x
  3. Step 3: Cross multiply
    97,788,658.60x = 146,682,987.90 × 82,004,860.90
  4. Step 4: Simplify right side
    97,788,658.60x = 12,028,718,019,135,884
  5. Step 5: Solve for x
    x = 12,028,718,019,135,884/97,788,658.60
  6. Step 6: Final answer
    x = 123,007,291.35

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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.