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Finding the Fourth Proportional to 259,226,048,702.93, 388,839,073,054.40 and 259,226,048,702.93

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Solution

The fourth proportional to 259,226,048,702.93, 388,839,073,054.40 and 259,226,048,702.93 is: 388,839,073,054.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,226,048,702.93 : 388,839,073,054.40 = 259,226,048,702.93 : x
  2. Step 2: Convert to fraction form
    259,226,048,702.93/388,839,073,054.40 = 259,226,048,702.93/x
  3. Step 3: Cross multiply
    259,226,048,702.93x = 388,839,073,054.40 × 259,226,048,702.93
  4. Step 4: Simplify right side
    259,226,048,702.93x = 100,797,216,489,202,054,594,560
  5. Step 5: Solve for x
    x = 100,797,216,489,202,054,594,560/259,226,048,702.93
  6. Step 6: Final answer
    x = 388,839,073,054.40

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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.