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Finding the Fourth Proportional to 122,107,894.20, 183,108,697.20 and 40,195,121.40

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Solution

The fourth proportional to 122,107,894.20, 183,108,697.20 and 40,195,121.40 is: 60,275,188.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,107,894.20 : 183,108,697.20 = 40,195,121.40 : x
  2. Step 2: Convert to fraction form
    122,107,894.20/183,108,697.20 = 40,195,121.40/x
  3. Step 3: Cross multiply
    122,107,894.20x = 183,108,697.20 × 40,195,121.40
  4. Step 4: Simplify right side
    122,107,894.20x = 7,360,076,313,349,839
  5. Step 5: Solve for x
    x = 7,360,076,313,349,839/122,107,894.20
  6. Step 6: Final answer
    x = 60,275,188.28

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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.