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Finding the Fourth Proportional to 209,953,803.20, 314,930,704.80 and 128,324,465.60

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Solution

The fourth proportional to 209,953,803.20, 314,930,704.80 and 128,324,465.60 is: 192,486,698.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,953,803.20 : 314,930,704.80 = 128,324,465.60 : x
  2. Step 2: Convert to fraction form
    209,953,803.20/314,930,704.80 = 128,324,465.60/x
  3. Step 3: Cross multiply
    209,953,803.20x = 314,930,704.80 × 128,324,465.60
  4. Step 4: Simplify right side
    209,953,803.20x = 40,413,314,394,491,352
  5. Step 5: Solve for x
    x = 40,413,314,394,491,352/209,953,803.20
  6. Step 6: Final answer
    x = 192,486,698.40

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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.