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Finding the Fourth Proportional to 620,630,120,400.24, 930,945,180,600.36 and 620,630,120,400.24

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Solution

The fourth proportional to 620,630,120,400.24, 930,945,180,600.36 and 620,630,120,400.24 is: 930,945,180,600.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,630,120,400.24 : 930,945,180,600.36 = 620,630,120,400.24 : x
  2. Step 2: Convert to fraction form
    620,630,120,400.24/930,945,180,600.36 = 620,630,120,400.24/x
  3. Step 3: Cross multiply
    620,630,120,400.24x = 930,945,180,600.36 × 620,630,120,400.24
  4. Step 4: Simplify right side
    620,630,120,400.24x = 577,772,619,522,024,549,646,336
  5. Step 5: Solve for x
    x = 577,772,619,522,024,549,646,336/620,630,120,400.24
  6. Step 6: Final answer
    x = 930,945,180,600.36

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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.