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Finding the Fourth Proportional to 209,952,160.80, 314,928,241.20 and 196,347,271.20

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Solution

The fourth proportional to 209,952,160.80, 314,928,241.20 and 196,347,271.20 is: 294,520,906.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,160.80 : 314,928,241.20 = 196,347,271.20 : x
  2. Step 2: Convert to fraction form
    209,952,160.80/314,928,241.20 = 196,347,271.20/x
  3. Step 3: Cross multiply
    209,952,160.80x = 314,928,241.20 × 196,347,271.20
  4. Step 4: Simplify right side
    209,952,160.80x = 61,835,300,783,435,408
  5. Step 5: Solve for x
    x = 61,835,300,783,435,408/209,952,160.80
  6. Step 6: Final answer
    x = 294,520,906.80

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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.