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Finding the Fourth Proportional to 2,015,803,692,023.20, 3,023,705,538,034.80 and 2,015,803,692,023.20

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Solution

The fourth proportional to 2,015,803,692,023.20, 3,023,705,538,034.80 and 2,015,803,692,023.20 is: 3,023,705,538,034.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015,803,692,023.20 : 3,023,705,538,034.80 = 2,015,803,692,023.20 : x
  2. Step 2: Convert to fraction form
    2,015,803,692,023.20/3,023,705,538,034.80 = 2,015,803,692,023.20/x
  3. Step 3: Cross multiply
    2,015,803,692,023.20x = 3,023,705,538,034.80 × 2,015,803,692,023.20
  4. Step 4: Simplify right side
    2,015,803,692,023.20x = 6,095,196,787,161,546,165,846,016
  5. Step 5: Solve for x
    x = 6,095,196,787,161,546,165,846,016/2,015,803,692,023.20
  6. Step 6: Final answer
    x = 3,023,705,538,034.80

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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.