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Finding the Fourth Proportional to 6,642,459.40, 9,947,942.70 and 6,642,459.40

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Solution

The fourth proportional to 6,642,459.40, 9,947,942.70 and 6,642,459.40 is: 9,947,942.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642,459.40 : 9,947,942.70 = 6,642,459.40 : x
  2. Step 2: Convert to fraction form
    6,642,459.40/9,947,942.70 = 6,642,459.40/x
  3. Step 3: Cross multiply
    6,642,459.40x = 9,947,942.70 × 6,642,459.40
  4. Step 4: Simplify right side
    6,642,459.40x = 66,078,805,498,276.38
  5. Step 5: Solve for x
    x = 66,078,805,498,276.38/6,642,459.40
  6. Step 6: Final answer
    x = 9,947,942.70

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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.