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Finding the Fourth Proportional to 259,226,048,703.93, 388,839,073,055.90 and 259,226,048,703.93

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Solution

The fourth proportional to 259,226,048,703.93, 388,839,073,055.90 and 259,226,048,703.93 is: 388,839,073,055.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,226,048,703.93 : 388,839,073,055.90 = 259,226,048,703.93 : x
  2. Step 2: Convert to fraction form
    259,226,048,703.93/388,839,073,055.90 = 259,226,048,703.93/x
  3. Step 3: Cross multiply
    259,226,048,703.93x = 388,839,073,055.90 × 259,226,048,703.93
  4. Step 4: Simplify right side
    259,226,048,703.93x = 100,797,216,489,979,728,887,808
  5. Step 5: Solve for x
    x = 100,797,216,489,979,728,887,808/259,226,048,703.93
  6. Step 6: Final answer
    x = 388,839,073,055.90

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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.