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Finding the Fourth Proportional to 620,630,120,214.09, 930,945,180,321.09 and 620,630,120,214.09

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Solution

The fourth proportional to 620,630,120,214.09, 930,945,180,321.09 and 620,630,120,214.09 is: 930,945,180,321.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,630,120,214.09 : 930,945,180,321.09 = 620,630,120,214.09 : x
  2. Step 2: Convert to fraction form
    620,630,120,214.09/930,945,180,321.09 = 620,630,120,214.09/x
  3. Step 3: Cross multiply
    620,630,120,214.09x = 930,945,180,321.09 × 620,630,120,214.09
  4. Step 4: Simplify right side
    620,630,120,214.09x = 577,772,619,175,405,723,582,464
  5. Step 5: Solve for x
    x = 577,772,619,175,405,723,582,464/620,630,120,214.09
  6. Step 6: Final answer
    x = 930,945,180,321.09

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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.