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Finding the Fourth Proportional to 6,642,505.20, 9,946,043.10 and 6,642,505.20

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Solution

The fourth proportional to 6,642,505.20, 9,946,043.10 and 6,642,505.20 is: 9,946,043.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642,505.20 : 9,946,043.10 = 6,642,505.20 : x
  2. Step 2: Convert to fraction form
    6,642,505.20/9,946,043.10 = 6,642,505.20/x
  3. Step 3: Cross multiply
    6,642,505.20x = 9,946,043.10 × 6,642,505.20
  4. Step 4: Simplify right side
    6,642,505.20x = 66,066,643,011,174.12
  5. Step 5: Solve for x
    x = 66,066,643,011,174.12/6,642,505.20
  6. Step 6: Final answer
    x = 9,946,043.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.