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Finding the Fourth Proportional to 100,203,493,208.70, 150,305,239,813.05 and 100,203,493,208.70

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Solution

The fourth proportional to 100,203,493,208.70, 150,305,239,813.05 and 100,203,493,208.70 is: 150,305,239,813.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,203,493,208.70 : 150,305,239,813.05 = 100,203,493,208.70 : x
  2. Step 2: Convert to fraction form
    100,203,493,208.70/150,305,239,813.05 = 100,203,493,208.70/x
  3. Step 3: Cross multiply
    100,203,493,208.70x = 150,305,239,813.05 × 100,203,493,208.70
  4. Step 4: Simplify right side
    100,203,493,208.70x = 15,061,110,076,838,978,256,896
  5. Step 5: Solve for x
    x = 15,061,110,076,838,978,256,896/100,203,493,208.70
  6. Step 6: Final answer
    x = 150,305,239,813.05

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Double scale
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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.