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Finding the Fourth Proportional to 533,854,856.80, 800,782,285.20 and 419,193,071.20

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Solution

The fourth proportional to 533,854,856.80, 800,782,285.20 and 419,193,071.20 is: 628,789,606.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,854,856.80 : 800,782,285.20 = 419,193,071.20 : x
  2. Step 2: Convert to fraction form
    533,854,856.80/800,782,285.20 = 419,193,071.20/x
  3. Step 3: Cross multiply
    533,854,856.80x = 800,782,285.20 × 419,193,071.20
  4. Step 4: Simplify right side
    533,854,856.80x = 335,682,385,495,542,336
  5. Step 5: Solve for x
    x = 335,682,385,495,542,336/533,854,856.80
  6. Step 6: Final answer
    x = 628,789,606.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.