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Finding the Fourth Proportional to 10,198,850.40, 14,303,584.80 and 10,198,850.40

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Solution

The fourth proportional to 10,198,850.40, 14,303,584.80 and 10,198,850.40 is: 14,303,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198,850.40 : 14,303,584.80 = 10,198,850.40 : x
  2. Step 2: Convert to fraction form
    10,198,850.40/14,303,584.80 = 10,198,850.40/x
  3. Step 3: Cross multiply
    10,198,850.40x = 14,303,584.80 × 10,198,850.40
  4. Step 4: Simplify right side
    10,198,850.40x = 145,880,121,558,913.94
  5. Step 5: Solve for x
    x = 145,880,121,558,913.94/10,198,850.40
  6. Step 6: Final answer
    x = 14,303,584.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.