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Finding the Fourth Proportional to 262,198,580.20, 366,397,767.80 and 262,198,580.20

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Solution

The fourth proportional to 262,198,580.20, 366,397,767.80 and 262,198,580.20 is: 366,397,767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,198,580.20 : 366,397,767.80 = 262,198,580.20 : x
  2. Step 2: Convert to fraction form
    262,198,580.20/366,397,767.80 = 262,198,580.20/x
  3. Step 3: Cross multiply
    262,198,580.20x = 366,397,767.80 × 262,198,580.20
  4. Step 4: Simplify right side
    262,198,580.20x = 96,068,974,505,609,280
  5. Step 5: Solve for x
    x = 96,068,974,505,609,280/262,198,580.20
  6. Step 6: Final answer
    x = 366,397,767.80

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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.