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Finding the Fourth Proportional to 259,226,048,698.80, 388,839,073,048.20 and 259,226,048,698.80

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Solution

The fourth proportional to 259,226,048,698.80, 388,839,073,048.20 and 259,226,048,698.80 is: 388,839,073,048.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,226,048,698.80 : 388,839,073,048.20 = 259,226,048,698.80 : x
  2. Step 2: Convert to fraction form
    259,226,048,698.80/388,839,073,048.20 = 259,226,048,698.80/x
  3. Step 3: Cross multiply
    259,226,048,698.80x = 388,839,073,048.20 × 259,226,048,698.80
  4. Step 4: Simplify right side
    259,226,048,698.80x = 100,797,216,485,988,949,295,104
  5. Step 5: Solve for x
    x = 100,797,216,485,988,949,295,104/259,226,048,698.80
  6. Step 6: Final answer
    x = 388,839,073,048.20

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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.