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Finding the Fourth Proportional to 396,336,894,415.43, 594,505,341,623.11 and 396,336,894,415.43

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Solution

The fourth proportional to 396,336,894,415.43, 594,505,341,623.11 and 396,336,894,415.43 is: 594,505,341,623.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,336,894,415.43 : 594,505,341,623.11 = 396,336,894,415.43 : x
  2. Step 2: Convert to fraction form
    396,336,894,415.43/594,505,341,623.11 = 396,336,894,415.43/x
  3. Step 3: Cross multiply
    396,336,894,415.43x = 594,505,341,623.11 × 396,336,894,415.43
  4. Step 4: Simplify right side
    396,336,894,415.43x = 235,624,400,812,287,690,014,720
  5. Step 5: Solve for x
    x = 235,624,400,812,287,690,014,720/396,336,894,415.43
  6. Step 6: Final answer
    x = 594,505,341,623.11

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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.