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Finding the Fourth Proportional to 380,211,408,045.22, 570,317,112,067.83 and 380,211,408,045.22

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Solution

The fourth proportional to 380,211,408,045.22, 570,317,112,067.83 and 380,211,408,045.22 is: 570,317,112,067.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,211,408,045.22 : 570,317,112,067.83 = 380,211,408,045.22 : x
  2. Step 2: Convert to fraction form
    380,211,408,045.22/570,317,112,067.83 = 380,211,408,045.22/x
  3. Step 3: Cross multiply
    380,211,408,045.22x = 570,317,112,067.83 × 380,211,408,045.22
  4. Step 4: Simplify right side
    380,211,408,045.22x = 216,841,072,211,593,135,128,576
  5. Step 5: Solve for x
    x = 216,841,072,211,593,135,128,576/380,211,408,045.22
  6. Step 6: Final answer
    x = 570,317,112,067.83

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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.