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Finding the Fourth Proportional to 7,339,581,664.70, 11,009,372,497.06 and 7,339,581,664.70

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Solution

The fourth proportional to 7,339,581,664.70, 11,009,372,497.06 and 7,339,581,664.70 is: 11,009,372,497.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,339,581,664.70 : 11,009,372,497.06 = 7,339,581,664.70 : x
  2. Step 2: Convert to fraction form
    7,339,581,664.70/11,009,372,497.06 = 7,339,581,664.70/x
  3. Step 3: Cross multiply
    7,339,581,664.70x = 11,009,372,497.06 × 7,339,581,664.70
  4. Step 4: Simplify right side
    7,339,581,664.70x = 80,804,188,519,274,020,864
  5. Step 5: Solve for x
    x = 80,804,188,519,274,020,864/7,339,581,664.70
  6. Step 6: Final answer
    x = 11,009,372,497.06

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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.