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Finding the Fourth Proportional to 217,753,323,246.90, 326,629,984,870.35 and 217,753,323,246.90

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Solution

The fourth proportional to 217,753,323,246.90, 326,629,984,870.35 and 217,753,323,246.90 is: 326,629,984,870.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,753,323,246.90 : 326,629,984,870.35 = 217,753,323,246.90 : x
  2. Step 2: Convert to fraction form
    217,753,323,246.90/326,629,984,870.35 = 217,753,323,246.90/x
  3. Step 3: Cross multiply
    217,753,323,246.90x = 326,629,984,870.35 × 217,753,323,246.90
  4. Step 4: Simplify right side
    217,753,323,246.90x = 71,124,764,677,603,372,040,192
  5. Step 5: Solve for x
    x = 71,124,764,677,603,372,040,192/217,753,323,246.90
  6. Step 6: Final answer
    x = 326,629,984,870.35

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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.