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Finding the Fourth Proportional to 316,887,942,706.80, 475,331,914,060.20 and 316,887,942,706.80

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Solution

The fourth proportional to 316,887,942,706.80, 475,331,914,060.20 and 316,887,942,706.80 is: 475,331,914,060.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,887,942,706.80 : 475,331,914,060.20 = 316,887,942,706.80 : x
  2. Step 2: Convert to fraction form
    316,887,942,706.80/475,331,914,060.20 = 316,887,942,706.80/x
  3. Step 3: Cross multiply
    316,887,942,706.80x = 475,331,914,060.20 × 316,887,942,706.80
  4. Step 4: Simplify right side
    316,887,942,706.80x = 150,626,952,349,422,240,923,648
  5. Step 5: Solve for x
    x = 150,626,952,349,422,240,923,648/316,887,942,706.80
  6. Step 6: Final answer
    x = 475,331,914,060.20

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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.