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Finding the Fourth Proportional to 533,967,879.60, 800,951,819.40 and 496,554,433.20

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Solution

The fourth proportional to 533,967,879.60, 800,951,819.40 and 496,554,433.20 is: 744,831,649.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,967,879.60 : 800,951,819.40 = 496,554,433.20 : x
  2. Step 2: Convert to fraction form
    533,967,879.60/800,951,819.40 = 496,554,433.20/x
  3. Step 3: Cross multiply
    533,967,879.60x = 800,951,819.40 × 496,554,433.20
  4. Step 4: Simplify right side
    533,967,879.60x = 397,716,176,702,675,712
  5. Step 5: Solve for x
    x = 397,716,176,702,675,712/533,967,879.60
  6. Step 6: Final answer
    x = 744,831,649.80

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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.