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Finding the Fourth Proportional to 33,115,449,619.40, 49,673,174,429.10 and 33,115,449,619.40

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Solution

The fourth proportional to 33,115,449,619.40, 49,673,174,429.10 and 33,115,449,619.40 is: 49,673,174,429.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,115,449,619.40 : 49,673,174,429.10 = 33,115,449,619.40 : x
  2. Step 2: Convert to fraction form
    33,115,449,619.40/49,673,174,429.10 = 33,115,449,619.40/x
  3. Step 3: Cross multiply
    33,115,449,619.40x = 49,673,174,429.10 × 33,115,449,619.40
  4. Step 4: Simplify right side
    33,115,449,619.40x = 1,644,949,505,242,529,529,856
  5. Step 5: Solve for x
    x = 1,644,949,505,242,529,529,856/33,115,449,619.40
  6. Step 6: Final answer
    x = 49,673,174,429.10

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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.