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Finding the Fourth Proportional to 620,630,120,140.30, 930,945,180,210.30 and 620,630,120,140.30

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Solution

The fourth proportional to 620,630,120,140.30, 930,945,180,210.30 and 620,630,120,140.30 is: 930,945,180,210.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,630,120,140.30 : 930,945,180,210.30 = 620,630,120,140.30 : x
  2. Step 2: Convert to fraction form
    620,630,120,140.30/930,945,180,210.30 = 620,630,120,140.30/x
  3. Step 3: Cross multiply
    620,630,120,140.30x = 930,945,180,210.30 × 620,630,120,140.30
  4. Step 4: Simplify right side
    620,630,120,140.30x = 577,772,619,037,951,804,833,792
  5. Step 5: Solve for x
    x = 577,772,619,037,951,804,833,792/620,630,120,140.30
  6. Step 6: Final answer
    x = 930,945,180,210.30

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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.