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Finding the Fourth Proportional to 420,138,212.80, 629,073,578.40 and 420,138,212.80

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Solution

The fourth proportional to 420,138,212.80, 629,073,578.40 and 420,138,212.80 is: 629,073,578.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,138,212.80 : 629,073,578.40 = 420,138,212.80 : x
  2. Step 2: Convert to fraction form
    420,138,212.80/629,073,578.40 = 420,138,212.80/x
  3. Step 3: Cross multiply
    420,138,212.80x = 629,073,578.40 × 420,138,212.80
  4. Step 4: Simplify right side
    420,138,212.80x = 264,297,848,948,676,672
  5. Step 5: Solve for x
    x = 264,297,848,948,676,672/420,138,212.80
  6. Step 6: Final answer
    x = 629,073,578.40

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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.