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Finding the Fourth Proportional to 488,882,713.80, 733,324,070.70 and 259,300,201.80

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Solution

The fourth proportional to 488,882,713.80, 733,324,070.70 and 259,300,201.80 is: 388,950,302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,882,713.80 : 733,324,070.70 = 259,300,201.80 : x
  2. Step 2: Convert to fraction form
    488,882,713.80/733,324,070.70 = 259,300,201.80/x
  3. Step 3: Cross multiply
    488,882,713.80x = 733,324,070.70 × 259,300,201.80
  4. Step 4: Simplify right side
    488,882,713.80x = 190,151,079,517,307,488
  5. Step 5: Solve for x
    x = 190,151,079,517,307,488/488,882,713.80
  6. Step 6: Final answer
    x = 388,950,302.70

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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.