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Finding the Fourth Proportional to 2,414,563,313.30, 3,621,844,969.95 and 2,414,563,313.30

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Solution

The fourth proportional to 2,414,563,313.30, 3,621,844,969.95 and 2,414,563,313.30 is: 3,621,844,969.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414,563,313.30 : 3,621,844,969.95 = 2,414,563,313.30 : x
  2. Step 2: Convert to fraction form
    2,414,563,313.30/3,621,844,969.95 = 2,414,563,313.30/x
  3. Step 3: Cross multiply
    2,414,563,313.30x = 3,621,844,969.95 × 2,414,563,313.30
  4. Step 4: Simplify right side
    2,414,563,313.30x = 8,745,173,990,901,410,816
  5. Step 5: Solve for x
    x = 8,745,173,990,901,410,816/2,414,563,313.30
  6. Step 6: Final answer
    x = 3,621,844,969.95

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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.