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Finding the Fourth Proportional to 198,168,565,513.90, 297,252,848,270.85 and 198,168,565,513.90

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Solution

The fourth proportional to 198,168,565,513.90, 297,252,848,270.85 and 198,168,565,513.90 is: 297,252,848,270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,168,565,513.90 : 297,252,848,270.85 = 198,168,565,513.90 : x
  2. Step 2: Convert to fraction form
    198,168,565,513.90/297,252,848,270.85 = 198,168,565,513.90/x
  3. Step 3: Cross multiply
    198,168,565,513.90x = 297,252,848,270.85 × 198,168,565,513.90
  4. Step 4: Simplify right side
    198,168,565,513.90x = 58,906,170,536,755,309,051,904
  5. Step 5: Solve for x
    x = 58,906,170,536,755,309,051,904/198,168,565,513.90
  6. Step 6: Final answer
    x = 297,252,848,270.85

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1.5x scale

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.