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Finding the Fourth Proportional to 150,305,367,088.70, 225,458,050,633.05 and 150,305,367,088.70

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Solution

The fourth proportional to 150,305,367,088.70, 225,458,050,633.05 and 150,305,367,088.70 is: 225,458,050,633.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,305,367,088.70 : 225,458,050,633.05 = 150,305,367,088.70 : x
  2. Step 2: Convert to fraction form
    150,305,367,088.70/225,458,050,633.05 = 150,305,367,088.70/x
  3. Step 3: Cross multiply
    150,305,367,088.70x = 225,458,050,633.05 × 150,305,367,088.70
  4. Step 4: Simplify right side
    150,305,367,088.70x = 33,887,555,063,503,294,300,160
  5. Step 5: Solve for x
    x = 33,887,555,063,503,294,300,160/150,305,367,088.70
  6. Step 6: Final answer
    x = 225,458,050,633.05

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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.