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Finding the Fourth Proportional to 109,188,187,200.67, 163,782,280,801.01 and 109,188,187,200.67

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Solution

The fourth proportional to 109,188,187,200.67, 163,782,280,801.01 and 109,188,187,200.67 is: 163,782,280,801.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,188,187,200.67 : 163,782,280,801.01 = 109,188,187,200.67 : x
  2. Step 2: Convert to fraction form
    109,188,187,200.67/163,782,280,801.01 = 109,188,187,200.67/x
  3. Step 3: Cross multiply
    109,188,187,200.67x = 163,782,280,801.01 × 109,188,187,200.67
  4. Step 4: Simplify right side
    109,188,187,200.67x = 17,883,090,336,253,380,395,008
  5. Step 5: Solve for x
    x = 17,883,090,336,253,380,395,008/109,188,187,200.67
  6. Step 6: Final answer
    x = 163,782,280,801.01

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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.