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Finding the Fourth Proportional to 34,206,627,793.80, 47,954,582,381.40 and 34,206,627,793.80

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Solution

The fourth proportional to 34,206,627,793.80, 47,954,582,381.40 and 34,206,627,793.80 is: 47,954,582,381.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,206,627,793.80 : 47,954,582,381.40 = 34,206,627,793.80 : x
  2. Step 2: Convert to fraction form
    34,206,627,793.80/47,954,582,381.40 = 34,206,627,793.80/x
  3. Step 3: Cross multiply
    34,206,627,793.80x = 47,954,582,381.40 × 34,206,627,793.80
  4. Step 4: Simplify right side
    34,206,627,793.80x = 1,640,364,550,527,668,977,664
  5. Step 5: Solve for x
    x = 1,640,364,550,527,668,977,664/34,206,627,793.80
  6. Step 6: Final answer
    x = 47,954,582,381.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.