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Finding the Fourth Proportional to 580,847,997.40, 871,271,996.10 and 449,334,064.60

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Solution

The fourth proportional to 580,847,997.40, 871,271,996.10 and 449,334,064.60 is: 674,001,096.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,847,997.40 : 871,271,996.10 = 449,334,064.60 : x
  2. Step 2: Convert to fraction form
    580,847,997.40/871,271,996.10 = 449,334,064.60/x
  3. Step 3: Cross multiply
    580,847,997.40x = 871,271,996.10 × 449,334,064.60
  4. Step 4: Simplify right side
    580,847,997.40x = 391,492,187,379,768,384
  5. Step 5: Solve for x
    x = 391,492,187,379,768,384/580,847,997.40
  6. Step 6: Final answer
    x = 674,001,096.90

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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.