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Finding the Fourth Proportional to 580,851,278.40, 871,276,917.60 and 449,337,345.60

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Solution

The fourth proportional to 580,851,278.40, 871,276,917.60 and 449,337,345.60 is: 674,006,018.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,851,278.40 : 871,276,917.60 = 449,337,345.60 : x
  2. Step 2: Convert to fraction form
    580,851,278.40/871,276,917.60 = 449,337,345.60/x
  3. Step 3: Cross multiply
    580,851,278.40x = 871,276,917.60 × 449,337,345.60
  4. Step 4: Simplify right side
    580,851,278.40x = 391,497,257,436,933,952
  5. Step 5: Solve for x
    x = 391,497,257,436,933,952/580,851,278.40
  6. Step 6: Final answer
    x = 674,006,018.40

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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.