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Finding the Fourth Proportional to 9,982,196.40, 14,978,478.60 and 4,663,412.40

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Solution

The fourth proportional to 9,982,196.40, 14,978,478.60 and 4,663,412.40 is: 6,997,540.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982,196.40 : 14,978,478.60 = 4,663,412.40 : x
  2. Step 2: Convert to fraction form
    9,982,196.40/14,978,478.60 = 4,663,412.40/x
  3. Step 3: Cross multiply
    9,982,196.40x = 14,978,478.60 × 4,663,412.40
  4. Step 4: Simplify right side
    9,982,196.40x = 69,850,822,836,374.64
  5. Step 5: Solve for x
    x = 69,850,822,836,374.64/9,982,196.40
  6. Step 6: Final answer
    x = 6,997,540.42

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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.