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Finding the Fourth Proportional to 2,981,232,003.60, 4,471,848,005.40 and 2,981,232,003.60

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Solution

The fourth proportional to 2,981,232,003.60, 4,471,848,005.40 and 2,981,232,003.60 is: 4,471,848,005.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981,232,003.60 : 4,471,848,005.40 = 2,981,232,003.60 : x
  2. Step 2: Convert to fraction form
    2,981,232,003.60/4,471,848,005.40 = 2,981,232,003.60/x
  3. Step 3: Cross multiply
    2,981,232,003.60x = 4,471,848,005.40 × 2,981,232,003.60
  4. Step 4: Simplify right side
    2,981,232,003.60x = 13,331,616,388,933,304,320
  5. Step 5: Solve for x
    x = 13,331,616,388,933,304,320/2,981,232,003.60
  6. Step 6: Final answer
    x = 4,471,848,005.40

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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.