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Finding the Fourth Proportional to 218,392,392,024.60, 306,162,131,262.60 and 218,392,392,024.60

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Solution

The fourth proportional to 218,392,392,024.60, 306,162,131,262.60 and 218,392,392,024.60 is: 306,162,131,262.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,392,392,024.60 : 306,162,131,262.60 = 218,392,392,024.60 : x
  2. Step 2: Convert to fraction form
    218,392,392,024.60/306,162,131,262.60 = 218,392,392,024.60/x
  3. Step 3: Cross multiply
    218,392,392,024.60x = 306,162,131,262.60 × 218,392,392,024.60
  4. Step 4: Simplify right side
    218,392,392,024.60x = 66,863,480,193,788,781,002,752
  5. Step 5: Solve for x
    x = 66,863,480,193,788,781,002,752/218,392,392,024.60
  6. Step 6: Final answer
    x = 306,162,131,262.60

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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.