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Finding the Fourth Proportional to 422,647,251.80, 590,496,829 and 422,647,251.80

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Solution

The fourth proportional to 422,647,251.80, 590,496,829 and 422,647,251.80 is: 590,496,829

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,647,251.80 : 590,496,829 = 422,647,251.80 : x
  2. Step 2: Convert to fraction form
    422,647,251.80/590,496,829 = 422,647,251.80/x
  3. Step 3: Cross multiply
    422,647,251.80x = 590,496,829 × 422,647,251.80
  4. Step 4: Simplify right side
    422,647,251.80x = 249,571,861,973,464,544
  5. Step 5: Solve for x
    x = 249,571,861,973,464,544/422,647,251.80
  6. Step 6: Final answer
    x = 590,496,829

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.