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Finding the Fourth Proportional to 580,839,129.40, 871,258,694.10 and 449,325,196.60

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Solution

The fourth proportional to 580,839,129.40, 871,258,694.10 and 449,325,196.60 is: 673,987,794.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,839,129.40 : 871,258,694.10 = 449,325,196.60 : x
  2. Step 2: Convert to fraction form
    580,839,129.40/871,258,694.10 = 449,325,196.60/x
  3. Step 3: Cross multiply
    580,839,129.40x = 871,258,694.10 × 449,325,196.60
  4. Step 4: Simplify right side
    580,839,129.40x = 391,478,484,015,941,760
  5. Step 5: Solve for x
    x = 391,478,484,015,941,760/580,839,129.40
  6. Step 6: Final answer
    x = 673,987,794.90

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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.