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Finding the Fourth Proportional to 6,642,002.23, 9,963,003.34 and 6,642,002.23

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Solution

The fourth proportional to 6,642,002.23, 9,963,003.34 and 6,642,002.23 is: 9,963,003.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642,002.23 : 9,963,003.34 = 6,642,002.23 : x
  2. Step 2: Convert to fraction form
    6,642,002.23/9,963,003.34 = 6,642,002.23/x
  3. Step 3: Cross multiply
    6,642,002.23x = 9,963,003.34 × 6,642,002.23
  4. Step 4: Simplify right side
    6,642,002.23x = 66,174,290,401,777.45
  5. Step 5: Solve for x
    x = 66,174,290,401,777.45/6,642,002.23
  6. Step 6: Final answer
    x = 9,963,003.34

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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.