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Finding the Fourth Proportional to 380,211,408,066.60, 570,317,112,099.90 and 380,211,408,066.60

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Solution

The fourth proportional to 380,211,408,066.60, 570,317,112,099.90 and 380,211,408,066.60 is: 570,317,112,099.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,211,408,066.60 : 570,317,112,099.90 = 380,211,408,066.60 : x
  2. Step 2: Convert to fraction form
    380,211,408,066.60/570,317,112,099.90 = 380,211,408,066.60/x
  3. Step 3: Cross multiply
    380,211,408,066.60x = 570,317,112,099.90 × 380,211,408,066.60
  4. Step 4: Simplify right side
    380,211,408,066.60x = 216,841,072,235,979,925,880,832
  5. Step 5: Solve for x
    x = 216,841,072,235,979,925,880,832/380,211,408,066.60
  6. Step 6: Final answer
    x = 570,317,112,099.90

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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.