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Finding the Fourth Proportional to 150,305,239,793.17, 225,457,859,689.76 and 150,305,239,793.17

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Solution

The fourth proportional to 150,305,239,793.17, 225,457,859,689.76 and 150,305,239,793.17 is: 225,457,859,689.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,305,239,793.17 : 225,457,859,689.76 = 150,305,239,793.17 : x
  2. Step 2: Convert to fraction form
    150,305,239,793.17/225,457,859,689.76 = 150,305,239,793.17/x
  3. Step 3: Cross multiply
    150,305,239,793.17x = 225,457,859,689.76 × 150,305,239,793.17
  4. Step 4: Simplify right side
    150,305,239,793.17x = 33,887,497,663,924,257,423,360
  5. Step 5: Solve for x
    x = 33,887,497,663,924,257,423,360/150,305,239,793.17
  6. Step 6: Final answer
    x = 225,457,859,689.76

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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.