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Finding the Fourth Proportional to 259,226,048,674.80, 388,839,073,012.20 and 259,226,048,674.80

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Solution

The fourth proportional to 259,226,048,674.80, 388,839,073,012.20 and 259,226,048,674.80 is: 388,839,073,012.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,226,048,674.80 : 388,839,073,012.20 = 259,226,048,674.80 : x
  2. Step 2: Convert to fraction form
    259,226,048,674.80/388,839,073,012.20 = 259,226,048,674.80/x
  3. Step 3: Cross multiply
    259,226,048,674.80x = 388,839,073,012.20 × 259,226,048,674.80
  4. Step 4: Simplify right side
    259,226,048,674.80x = 100,797,216,467,324,665,593,856
  5. Step 5: Solve for x
    x = 100,797,216,467,324,665,593,856/259,226,048,674.80
  6. Step 6: Final answer
    x = 388,839,073,012.20

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1.5x scale

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.