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Finding the Fourth Proportional to 580,854,944.60, 871,282,416.90 and 577,453,722.20

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Solution

The fourth proportional to 580,854,944.60, 871,282,416.90 and 577,453,722.20 is: 866,180,583.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,854,944.60 : 871,282,416.90 = 577,453,722.20 : x
  2. Step 2: Convert to fraction form
    580,854,944.60/871,282,416.90 = 577,453,722.20/x
  3. Step 3: Cross multiply
    580,854,944.60x = 871,282,416.90 × 577,453,722.20
  4. Step 4: Simplify right side
    580,854,944.60x = 503,125,274,726,317,184
  5. Step 5: Solve for x
    x = 503,125,274,726,317,184/580,854,944.60
  6. Step 6: Final answer
    x = 866,180,583.30

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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.