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Finding the Fourth Proportional to 314,928,309.80, 472,392,464.70 and 200,042,575.40

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Solution

The fourth proportional to 314,928,309.80, 472,392,464.70 and 200,042,575.40 is: 300,063,863.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,309.80 : 472,392,464.70 = 200,042,575.40 : x
  2. Step 2: Convert to fraction form
    314,928,309.80/472,392,464.70 = 200,042,575.40/x
  3. Step 3: Cross multiply
    314,928,309.80x = 472,392,464.70 × 200,042,575.40
  4. Step 4: Simplify right side
    314,928,309.80x = 94,498,605,238,141,584
  5. Step 5: Solve for x
    x = 94,498,605,238,141,584/314,928,309.80
  6. Step 6: Final answer
    x = 300,063,863.10

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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.