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Finding the Fourth Proportional to 167,897,589,752.80, 251,846,384,629.20 and 167,897,589,752.80

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Solution

The fourth proportional to 167,897,589,752.80, 251,846,384,629.20 and 167,897,589,752.80 is: 251,846,384,629.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,897,589,752.80 : 251,846,384,629.20 = 167,897,589,752.80 : x
  2. Step 2: Convert to fraction form
    167,897,589,752.80/251,846,384,629.20 = 167,897,589,752.80/x
  3. Step 3: Cross multiply
    167,897,589,752.80x = 251,846,384,629.20 × 167,897,589,752.80
  4. Step 4: Simplify right side
    167,897,589,752.80x = 42,284,400,967,199,299,207,168
  5. Step 5: Solve for x
    x = 42,284,400,967,199,299,207,168/167,897,589,752.80
  6. Step 6: Final answer
    x = 251,846,384,629.20

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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.