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Finding the Fourth Proportional to 774,840,978,071.70, 1,162,261,467,107.50 and 774,840,978,071.70

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Solution

The fourth proportional to 774,840,978,071.70, 1,162,261,467,107.50 and 774,840,978,071.70 is: 1,162,261,467,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,840,978,071.70 : 1,162,261,467,107.50 = 774,840,978,071.70 : x
  2. Step 2: Convert to fraction form
    774,840,978,071.70/1,162,261,467,107.50 = 774,840,978,071.70/x
  3. Step 3: Cross multiply
    774,840,978,071.70x = 1,162,261,467,107.50 × 774,840,978,071.70
  4. Step 4: Simplify right side
    774,840,978,071.70x = 900,567,811,948,624,161,538,048
  5. Step 5: Solve for x
    x = 900,567,811,948,624,161,538,048/774,840,978,071.70
  6. Step 6: Final answer
    x = 1,162,261,467,107.50

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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.