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Finding the Fourth Proportional to 33,009,968,661.30, 49,514,952,991.95 and 33,009,968,661.30

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Solution

The fourth proportional to 33,009,968,661.30, 49,514,952,991.95 and 33,009,968,661.30 is: 49,514,952,991.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,009,968,661.30 : 49,514,952,991.95 = 33,009,968,661.30 : x
  2. Step 2: Convert to fraction form
    33,009,968,661.30/49,514,952,991.95 = 33,009,968,661.30/x
  3. Step 3: Cross multiply
    33,009,968,661.30x = 49,514,952,991.95 × 33,009,968,661.30
  4. Step 4: Simplify right side
    33,009,968,661.30x = 1,634,487,046,530,012,020,736
  5. Step 5: Solve for x
    x = 1,634,487,046,530,012,020,736/33,009,968,661.30
  6. Step 6: Final answer
    x = 49,514,952,991.95

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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.