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Finding the Fourth Proportional to 100,203,552,003.67, 150,305,328,005.52 and 100,203,552,003.67

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Solution

The fourth proportional to 100,203,552,003.67, 150,305,328,005.52 and 100,203,552,003.67 is: 150,305,328,005.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,203,552,003.67 : 150,305,328,005.52 = 100,203,552,003.67 : x
  2. Step 2: Convert to fraction form
    100,203,552,003.67/150,305,328,005.52 = 100,203,552,003.67/x
  3. Step 3: Cross multiply
    100,203,552,003.67x = 150,305,328,005.52 × 100,203,552,003.67
  4. Step 4: Simplify right side
    100,203,552,003.67x = 15,061,127,751,229,799,137,280
  5. Step 5: Solve for x
    x = 15,061,127,751,229,799,137,280/100,203,552,003.67
  6. Step 6: Final answer
    x = 150,305,328,005.52

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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.