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Finding the Fourth Proportional to 71,803,589,738.40, 100,690,325,042.40 and 71,803,589,738.40

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Solution

The fourth proportional to 71,803,589,738.40, 100,690,325,042.40 and 71,803,589,738.40 is: 100,690,325,042.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,803,589,738.40 : 100,690,325,042.40 = 71,803,589,738.40 : x
  2. Step 2: Convert to fraction form
    71,803,589,738.40/100,690,325,042.40 = 71,803,589,738.40/x
  3. Step 3: Cross multiply
    71,803,589,738.40x = 100,690,325,042.40 × 71,803,589,738.40
  4. Step 4: Simplify right side
    71,803,589,738.40x = 7,229,926,789,970,632,114,176
  5. Step 5: Solve for x
    x = 7,229,926,789,970,632,114,176/71,803,589,738.40
  6. Step 6: Final answer
    x = 100,690,325,042.40

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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.