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Finding the Fourth Proportional to 27,888,930,009.55, 41,833,395,014.33 and 27,888,930,009.55

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Solution

The fourth proportional to 27,888,930,009.55, 41,833,395,014.33 and 27,888,930,009.55 is: 41,833,395,014.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,888,930,009.55 : 41,833,395,014.33 = 27,888,930,009.55 : x
  2. Step 2: Convert to fraction form
    27,888,930,009.55/41,833,395,014.33 = 27,888,930,009.55/x
  3. Step 3: Cross multiply
    27,888,930,009.55x = 41,833,395,014.33 × 27,888,930,009.55
  4. Step 4: Simplify right side
    27,888,930,009.55x = 1,166,688,625,616,507,371,520
  5. Step 5: Solve for x
    x = 1,166,688,625,616,507,371,520/27,888,930,009.55
  6. Step 6: Final answer
    x = 41,833,395,014.33

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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.