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Finding the Fourth Proportional to 100,203,552,001.30, 150,305,328,001.95 and 100,203,552,001.30

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Solution

The fourth proportional to 100,203,552,001.30, 150,305,328,001.95 and 100,203,552,001.30 is: 150,305,328,001.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,203,552,001.30 : 150,305,328,001.95 = 100,203,552,001.30 : x
  2. Step 2: Convert to fraction form
    100,203,552,001.30/150,305,328,001.95 = 100,203,552,001.30/x
  3. Step 3: Cross multiply
    100,203,552,001.30x = 150,305,328,001.95 × 100,203,552,001.30
  4. Step 4: Simplify right side
    100,203,552,001.30x = 15,061,127,750,515,851,001,856
  5. Step 5: Solve for x
    x = 15,061,127,750,515,851,001,856/100,203,552,001.30
  6. Step 6: Final answer
    x = 150,305,328,001.95

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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.