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Finding the Fourth Proportional to 276,382,610,998.40, 414,573,916,497.60 and 276,382,610,998.40

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Solution

The fourth proportional to 276,382,610,998.40, 414,573,916,497.60 and 276,382,610,998.40 is: 414,573,916,497.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,382,610,998.40 : 414,573,916,497.60 = 276,382,610,998.40 : x
  2. Step 2: Convert to fraction form
    276,382,610,998.40/414,573,916,497.60 = 276,382,610,998.40/x
  3. Step 3: Cross multiply
    276,382,610,998.40x = 414,573,916,497.60 × 276,382,610,998.40
  4. Step 4: Simplify right side
    276,382,610,998.40x = 114,581,021,493,439,355,682,816
  5. Step 5: Solve for x
    x = 114,581,021,493,439,355,682,816/276,382,610,998.40
  6. Step 6: Final answer
    x = 414,573,916,497.60

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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.