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Finding the Fourth Proportional to 394,892,600.70, 592,338,901.05 and 280,101,344.70

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Solution

The fourth proportional to 394,892,600.70, 592,338,901.05 and 280,101,344.70 is: 420,152,017.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,892,600.70 : 592,338,901.05 = 280,101,344.70 : x
  2. Step 2: Convert to fraction form
    394,892,600.70/592,338,901.05 = 280,101,344.70/x
  3. Step 3: Cross multiply
    394,892,600.70x = 592,338,901.05 × 280,101,344.70
  4. Step 4: Simplify right side
    394,892,600.70x = 165,914,922,702,225,216
  5. Step 5: Solve for x
    x = 165,914,922,702,225,216/394,892,600.70
  6. Step 6: Final answer
    x = 420,152,017.05

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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.