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Finding the Fourth Proportional to 167,984,564,117.80, 251,976,846,176.70 and 167,984,564,117.80

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Solution

The fourth proportional to 167,984,564,117.80, 251,976,846,176.70 and 167,984,564,117.80 is: 251,976,846,176.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,984,564,117.80 : 251,976,846,176.70 = 167,984,564,117.80 : x
  2. Step 2: Convert to fraction form
    167,984,564,117.80/251,976,846,176.70 = 167,984,564,117.80/x
  3. Step 3: Cross multiply
    167,984,564,117.80x = 251,976,846,176.70 × 167,984,564,117.80
  4. Step 4: Simplify right side
    167,984,564,117.80x = 42,328,220,672,770,892,103,680
  5. Step 5: Solve for x
    x = 42,328,220,672,770,892,103,680/167,984,564,117.80
  6. Step 6: Final answer
    x = 251,976,846,176.70

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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.