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Finding the Fourth Proportional to 2,235,361,392,023.20, 3,353,042,088,035.20 and 2,235,361,392,023.20

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Solution

The fourth proportional to 2,235,361,392,023.20, 3,353,042,088,035.20 and 2,235,361,392,023.20 is: 3,353,042,088,035.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235,361,392,023.20 : 3,353,042,088,035.20 = 2,235,361,392,023.20 : x
  2. Step 2: Convert to fraction form
    2,235,361,392,023.20/3,353,042,088,035.20 = 2,235,361,392,023.20/x
  3. Step 3: Cross multiply
    2,235,361,392,023.20x = 3,353,042,088,035.20 × 2,235,361,392,023.20
  4. Step 4: Simplify right side
    2,235,361,392,023.20x = 7,495,260,829,422,743,048,945,664
  5. Step 5: Solve for x
    x = 7,495,260,829,422,743,048,945,664/2,235,361,392,023.20
  6. Step 6: Final answer
    x = 3,353,042,088,035.20

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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.