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Finding the Fourth Proportional to 3,310,027,308,906.30, 4,965,040,963,359.40 and 3,310,027,308,906.30

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Solution

The fourth proportional to 3,310,027,308,906.30, 4,965,040,963,359.40 and 3,310,027,308,906.30 is: 4,965,040,963,359.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310,027,308,906.30 : 4,965,040,963,359.40 = 3,310,027,308,906.30 : x
  2. Step 2: Convert to fraction form
    3,310,027,308,906.30/4,965,040,963,359.40 = 3,310,027,308,906.30/x
  3. Step 3: Cross multiply
    3,310,027,308,906.30x = 4,965,040,963,359.40 × 3,310,027,308,906.30
  4. Step 4: Simplify right side
    3,310,027,308,906.30x = 16,434,421,178,558,058,711,744,512
  5. Step 5: Solve for x
    x = 16,434,421,178,558,058,711,744,512/3,310,027,308,906.30
  6. Step 6: Final answer
    x = 4,965,040,963,359.40

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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.