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Finding the Fourth Proportional to 506,807,416.50, 699,394,234.77 and 275,020,408.50

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Solution

The fourth proportional to 506,807,416.50, 699,394,234.77 and 275,020,408.50 is: 379,528,163.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,807,416.50 : 699,394,234.77 = 275,020,408.50 : x
  2. Step 2: Convert to fraction form
    506,807,416.50/699,394,234.77 = 275,020,408.50/x
  3. Step 3: Cross multiply
    506,807,416.50x = 699,394,234.77 × 275,020,408.50
  4. Step 4: Simplify right side
    506,807,416.50x = 192,347,688,148,990,304
  5. Step 5: Solve for x
    x = 192,347,688,148,990,304/506,807,416.50
  6. Step 6: Final answer
    x = 379,528,163.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.