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Finding the Fourth Proportional to 534,367,223.40, 800,275,376.70 and 534,367,223.40

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Solution

The fourth proportional to 534,367,223.40, 800,275,376.70 and 534,367,223.40 is: 800,275,376.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,367,223.40 : 800,275,376.70 = 534,367,223.40 : x
  2. Step 2: Convert to fraction form
    534,367,223.40/800,275,376.70 = 534,367,223.40/x
  3. Step 3: Cross multiply
    534,367,223.40x = 800,275,376.70 × 534,367,223.40
  4. Step 4: Simplify right side
    534,367,223.40x = 427,640,931,002,568,064
  5. Step 5: Solve for x
    x = 427,640,931,002,568,064/534,367,223.40
  6. Step 6: Final answer
    x = 800,275,376.70

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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.