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Finding the Fourth Proportional to 3,310,027,308,800.30, 4,965,040,963,200.50 and 3,310,027,308,800.30

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Solution

The fourth proportional to 3,310,027,308,800.30, 4,965,040,963,200.50 and 3,310,027,308,800.30 is: 4,965,040,963,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310,027,308,800.30 : 4,965,040,963,200.50 = 3,310,027,308,800.30 : x
  2. Step 2: Convert to fraction form
    3,310,027,308,800.30/4,965,040,963,200.50 = 3,310,027,308,800.30/x
  3. Step 3: Cross multiply
    3,310,027,308,800.30x = 4,965,040,963,200.50 × 3,310,027,308,800.30
  4. Step 4: Simplify right side
    3,310,027,308,800.30x = 16,434,421,177,505,800,314,159,104
  5. Step 5: Solve for x
    x = 16,434,421,177,505,800,314,159,104/3,310,027,308,800.30
  6. Step 6: Final answer
    x = 4,965,040,963,200.50

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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.