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Finding the Fourth Proportional to 497,664,408.80, 746,496,613.20 and 450,047,295.20

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Solution

The fourth proportional to 497,664,408.80, 746,496,613.20 and 450,047,295.20 is: 675,070,942.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,664,408.80 : 746,496,613.20 = 450,047,295.20 : x
  2. Step 2: Convert to fraction form
    497,664,408.80/746,496,613.20 = 450,047,295.20/x
  3. Step 3: Cross multiply
    497,664,408.80x = 746,496,613.20 × 450,047,295.20
  4. Step 4: Simplify right side
    497,664,408.80x = 335,958,781,646,620,608
  5. Step 5: Solve for x
    x = 335,958,781,646,620,608/497,664,408.80
  6. Step 6: Final answer
    x = 675,070,942.80

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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.