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Finding the Fourth Proportional to 152,685,410.80, 213,306,078.80 and 152,685,410.80

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Solution

The fourth proportional to 152,685,410.80, 213,306,078.80 and 152,685,410.80 is: 213,306,078.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,685,410.80 : 213,306,078.80 = 152,685,410.80 : x
  2. Step 2: Convert to fraction form
    152,685,410.80/213,306,078.80 = 152,685,410.80/x
  3. Step 3: Cross multiply
    152,685,410.80x = 213,306,078.80 × 152,685,410.80
  4. Step 4: Simplify right side
    152,685,410.80x = 32,568,726,267,715,176
  5. Step 5: Solve for x
    x = 32,568,726,267,715,176/152,685,410.80
  6. Step 6: Final answer
    x = 213,306,078.80

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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.