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Finding the Fourth Proportional to 27,888,930,008.05, 41,833,395,012.08 and 27,888,930,008.05

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Solution

The fourth proportional to 27,888,930,008.05, 41,833,395,012.08 and 27,888,930,008.05 is: 41,833,395,012.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,888,930,008.05 : 41,833,395,012.08 = 27,888,930,008.05 : x
  2. Step 2: Convert to fraction form
    27,888,930,008.05/41,833,395,012.08 = 27,888,930,008.05/x
  3. Step 3: Cross multiply
    27,888,930,008.05x = 41,833,395,012.08 × 27,888,930,008.05
  4. Step 4: Simplify right side
    27,888,930,008.05x = 1,166,688,625,491,007,111,168
  5. Step 5: Solve for x
    x = 1,166,688,625,491,007,111,168/27,888,930,008.05
  6. Step 6: Final answer
    x = 41,833,395,012.08

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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.