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Finding the Fourth Proportional to 220,965,165, 304,950,082.50 and 121,865,295.24

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Solution

The fourth proportional to 220,965,165, 304,950,082.50 and 121,865,295.24 is: 168,184,120.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,965,165 : 304,950,082.50 = 121,865,295.24 : x
  2. Step 2: Convert to fraction form
    220,965,165/304,950,082.50 = 121,865,295.24/x
  3. Step 3: Cross multiply
    220,965,165x = 304,950,082.50 × 121,865,295.24
  4. Step 4: Simplify right side
    220,965,165x = 37,162,831,837,324,856
  5. Step 5: Solve for x
    x = 37,162,831,837,324,856/220,965,165
  6. Step 6: Final answer
    x = 168,184,120.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.