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Finding the Fourth Proportional to 314,928,456.40, 472,392,684.60 and 200,420,635.60

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Solution

The fourth proportional to 314,928,456.40, 472,392,684.60 and 200,420,635.60 is: 300,630,953.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,456.40 : 472,392,684.60 = 200,420,635.60 : x
  2. Step 2: Convert to fraction form
    314,928,456.40/472,392,684.60 = 200,420,635.60/x
  3. Step 3: Cross multiply
    314,928,456.40x = 472,392,684.60 × 200,420,635.60
  4. Step 4: Simplify right side
    314,928,456.40x = 94,677,242,100,322,336
  5. Step 5: Solve for x
    x = 94,677,242,100,322,336/314,928,456.40
  6. Step 6: Final answer
    x = 300,630,953.40

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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.