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Finding the Fourth Proportional to 162,171,744,007.15, 243,257,616,010.73 and 162,171,744,007.15

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Solution

The fourth proportional to 162,171,744,007.15, 243,257,616,010.73 and 162,171,744,007.15 is: 243,257,616,010.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,171,744,007.15 : 243,257,616,010.73 = 162,171,744,007.15 : x
  2. Step 2: Convert to fraction form
    162,171,744,007.15/243,257,616,010.73 = 162,171,744,007.15/x
  3. Step 3: Cross multiply
    162,171,744,007.15x = 243,257,616,010.73 × 162,171,744,007.15
  4. Step 4: Simplify right side
    162,171,744,007.15x = 39,449,511,831,481,702,416,384
  5. Step 5: Solve for x
    x = 39,449,511,831,481,702,416,384/162,171,744,007.15
  6. Step 6: Final answer
    x = 243,257,616,010.73

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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.