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Finding the Fourth Proportional to 208,770,192,001.30, 313,155,288,001.95 and 208,770,192,001.30

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Solution

The fourth proportional to 208,770,192,001.30, 313,155,288,001.95 and 208,770,192,001.30 is: 313,155,288,001.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,770,192,001.30 : 313,155,288,001.95 = 208,770,192,001.30 : x
  2. Step 2: Convert to fraction form
    208,770,192,001.30/313,155,288,001.95 = 208,770,192,001.30/x
  3. Step 3: Cross multiply
    208,770,192,001.30x = 313,155,288,001.95 × 208,770,192,001.30
  4. Step 4: Simplify right side
    208,770,192,001.30x = 65,377,489,602,389,496,299,520
  5. Step 5: Solve for x
    x = 65,377,489,602,389,496,299,520/208,770,192,001.30
  6. Step 6: Final answer
    x = 313,155,288,001.95

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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.