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Finding the Fourth Proportional to 2,449,961,410,824.70, 3,674,942,116,237.10 and 2,449,961,410,824.70

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Solution

The fourth proportional to 2,449,961,410,824.70, 3,674,942,116,237.10 and 2,449,961,410,824.70 is: 3,674,942,116,237.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449,961,410,824.70 : 3,674,942,116,237.10 = 2,449,961,410,824.70 : x
  2. Step 2: Convert to fraction form
    2,449,961,410,824.70/3,674,942,116,237.10 = 2,449,961,410,824.70/x
  3. Step 3: Cross multiply
    2,449,961,410,824.70x = 3,674,942,116,237.10 × 2,449,961,410,824.70
  4. Step 4: Simplify right side
    2,449,961,410,824.70x = 9,003,466,371,795,354,851,999,744
  5. Step 5: Solve for x
    x = 9,003,466,371,795,354,851,999,744/2,449,961,410,824.70
  6. Step 6: Final answer
    x = 3,674,942,116,237.10

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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.