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Finding the Fourth Proportional to 303,375,734.16, 418,655,532.60 and 164,143,440.96

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Solution

The fourth proportional to 303,375,734.16, 418,655,532.60 and 164,143,440.96 is: 226,516,335.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,375,734.16 : 418,655,532.60 = 164,143,440.96 : x
  2. Step 2: Convert to fraction form
    303,375,734.16/418,655,532.60 = 164,143,440.96/x
  3. Step 3: Cross multiply
    303,375,734.16x = 418,655,532.60 × 164,143,440.96
  4. Step 4: Simplify right side
    303,375,734.16x = 68,719,559,697,905,464
  5. Step 5: Solve for x
    x = 68,719,559,697,905,464/303,375,734.16
  6. Step 6: Final answer
    x = 226,516,335.88

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Why These Related Problems?

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