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Finding the Fourth Proportional to 314,928,462.80, 439,879,481.20 and 314,928,462.80

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Solution

The fourth proportional to 314,928,462.80, 439,879,481.20 and 314,928,462.80 is: 439,879,481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,462.80 : 439,879,481.20 = 314,928,462.80 : x
  2. Step 2: Convert to fraction form
    314,928,462.80/439,879,481.20 = 314,928,462.80/x
  3. Step 3: Cross multiply
    314,928,462.80x = 439,879,481.20 × 314,928,462.80
  4. Step 4: Simplify right side
    314,928,462.80x = 138,530,568,831,577,504
  5. Step 5: Solve for x
    x = 138,530,568,831,577,504/314,928,462.80
  6. Step 6: Final answer
    x = 439,879,481.20

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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.