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Finding the Fourth Proportional to 167,586,408,002.52, 251,379,612,003.77 and 167,586,408,002.52

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Solution

The fourth proportional to 167,586,408,002.52, 251,379,612,003.77 and 167,586,408,002.52 is: 251,379,612,003.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,586,408,002.52 : 251,379,612,003.77 = 167,586,408,002.52 : x
  2. Step 2: Convert to fraction form
    167,586,408,002.52/251,379,612,003.77 = 167,586,408,002.52/x
  3. Step 3: Cross multiply
    167,586,408,002.52x = 251,379,612,003.77 × 167,586,408,002.52
  4. Step 4: Simplify right side
    167,586,408,002.52x = 42,127,806,220,778,971,594,752
  5. Step 5: Solve for x
    x = 42,127,806,220,778,971,594,752/167,586,408,002.52
  6. Step 6: Final answer
    x = 251,379,612,003.77

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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.