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Finding the Fourth Proportional to 217,215,840.90, 325,823,761.35 and 217,215,840.90

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Solution

The fourth proportional to 217,215,840.90, 325,823,761.35 and 217,215,840.90 is: 325,823,761.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,215,840.90 : 325,823,761.35 = 217,215,840.90 : x
  2. Step 2: Convert to fraction form
    217,215,840.90/325,823,761.35 = 217,215,840.90/x
  3. Step 3: Cross multiply
    217,215,840.90x = 325,823,761.35 × 217,215,840.90
  4. Step 4: Simplify right side
    217,215,840.90x = 70,774,082,306,841,176
  5. Step 5: Solve for x
    x = 70,774,082,306,841,176/217,215,840.90
  6. Step 6: Final answer
    x = 325,823,761.35

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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.