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Finding the Fourth Proportional to 9,966,135.40, 13,962,037.40 and 9,966,135.40

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Solution

The fourth proportional to 9,966,135.40, 13,962,037.40 and 9,966,135.40 is: 13,962,037.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966,135.40 : 13,962,037.40 = 9,966,135.40 : x
  2. Step 2: Convert to fraction form
    9,966,135.40/13,962,037.40 = 9,966,135.40/x
  3. Step 3: Cross multiply
    9,966,135.40x = 13,962,037.40 × 9,966,135.40
  4. Step 4: Simplify right side
    9,966,135.40x = 139,147,555,188,263.97
  5. Step 5: Solve for x
    x = 139,147,555,188,263.97/9,966,135.40
  6. Step 6: Final answer
    x = 13,962,037.40

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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.