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Finding the Fourth Proportional to 54,494,544,081.60, 81,741,816,122.40 and 54,494,544,081.60

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Solution

The fourth proportional to 54,494,544,081.60, 81,741,816,122.40 and 54,494,544,081.60 is: 81,741,816,122.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,494,544,081.60 : 81,741,816,122.40 = 54,494,544,081.60 : x
  2. Step 2: Convert to fraction form
    54,494,544,081.60/81,741,816,122.40 = 54,494,544,081.60/x
  3. Step 3: Cross multiply
    54,494,544,081.60x = 81,741,816,122.40 × 54,494,544,081.60
  4. Step 4: Simplify right side
    54,494,544,081.60x = 4,454,483,001,992,167,817,216
  5. Step 5: Solve for x
    x = 4,454,483,001,992,167,817,216/54,494,544,081.60
  6. Step 6: Final answer
    x = 81,741,816,122.40

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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.