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Finding the Fourth Proportional to 209,952,163.80, 314,928,245.70 and 106,640,033.40

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Solution

The fourth proportional to 209,952,163.80, 314,928,245.70 and 106,640,033.40 is: 159,960,050.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,163.80 : 314,928,245.70 = 106,640,033.40 : x
  2. Step 2: Convert to fraction form
    209,952,163.80/314,928,245.70 = 106,640,033.40/x
  3. Step 3: Cross multiply
    209,952,163.80x = 314,928,245.70 × 106,640,033.40
  4. Step 4: Simplify right side
    209,952,163.80x = 33,583,958,640,051,408
  5. Step 5: Solve for x
    x = 33,583,958,640,051,408/209,952,163.80
  6. Step 6: Final answer
    x = 159,960,050.10

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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.