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Finding the Fourth Proportional to 22,002,880,643.10, 33,004,320,964.65 and 22,002,880,643.10

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Solution

The fourth proportional to 22,002,880,643.10, 33,004,320,964.65 and 22,002,880,643.10 is: 33,004,320,964.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,002,880,643.10 : 33,004,320,964.65 = 22,002,880,643.10 : x
  2. Step 2: Convert to fraction form
    22,002,880,643.10/33,004,320,964.65 = 22,002,880,643.10/x
  3. Step 3: Cross multiply
    22,002,880,643.10x = 33,004,320,964.65 × 22,002,880,643.10
  4. Step 4: Simplify right side
    22,002,880,643.10x = 726,190,134,891,757,043,712
  5. Step 5: Solve for x
    x = 726,190,134,891,757,043,712/22,002,880,643.10
  6. Step 6: Final answer
    x = 33,004,320,964.65

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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.