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Finding the Fourth Proportional to 412,954,199.52, 619,431,299.16 and 154,189,627.92

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Solution

The fourth proportional to 412,954,199.52, 619,431,299.16 and 154,189,627.92 is: 231,284,441.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,954,199.52 : 619,431,299.16 = 154,189,627.92 : x
  2. Step 2: Convert to fraction form
    412,954,199.52/619,431,299.16 = 154,189,627.92/x
  3. Step 3: Cross multiply
    412,954,199.52x = 619,431,299.16 × 154,189,627.92
  4. Step 4: Simplify right side
    412,954,199.52x = 95,509,881,539,482,592
  5. Step 5: Solve for x
    x = 95,509,881,539,482,592/412,954,199.52
  6. Step 6: Final answer
    x = 231,284,441.84

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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.