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Finding the Fourth Proportional to 2,545,940,512,975.60, 3,818,910,769,463.40 and 2,545,940,512,975.60

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Solution

The fourth proportional to 2,545,940,512,975.60, 3,818,910,769,463.40 and 2,545,940,512,975.60 is: 3,818,910,769,463.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545,940,512,975.60 : 3,818,910,769,463.40 = 2,545,940,512,975.60 : x
  2. Step 2: Convert to fraction form
    2,545,940,512,975.60/3,818,910,769,463.40 = 2,545,940,512,975.60/x
  3. Step 3: Cross multiply
    2,545,940,512,975.60x = 3,818,910,769,463.40 × 2,545,940,512,975.60
  4. Step 4: Simplify right side
    2,545,940,512,975.60x = 9,722,719,643,415,692,558,991,360
  5. Step 5: Solve for x
    x = 9,722,719,643,415,692,558,991,360/2,545,940,512,975.60
  6. Step 6: Final answer
    x = 3,818,910,769,463.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.