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Finding the Fourth Proportional to 533,876,448.80, 800,814,673.20 and 419,214,663.20

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Solution

The fourth proportional to 533,876,448.80, 800,814,673.20 and 419,214,663.20 is: 628,821,994.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,876,448.80 : 800,814,673.20 = 419,214,663.20 : x
  2. Step 2: Convert to fraction form
    533,876,448.80/800,814,673.20 = 419,214,663.20/x
  3. Step 3: Cross multiply
    533,876,448.80x = 800,814,673.20 × 419,214,663.20
  4. Step 4: Simplify right side
    533,876,448.80x = 335,713,253,511,156,096
  5. Step 5: Solve for x
    x = 335,713,253,511,156,096/533,876,448.80
  6. Step 6: Final answer
    x = 628,821,994.80

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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.