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Finding the Fourth Proportional to 314,928,513.30, 472,392,769.95 and 314,928,513.30

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Solution

The fourth proportional to 314,928,513.30, 472,392,769.95 and 314,928,513.30 is: 472,392,769.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,513.30 : 472,392,769.95 = 314,928,513.30 : x
  2. Step 2: Convert to fraction form
    314,928,513.30/472,392,769.95 = 314,928,513.30/x
  3. Step 3: Cross multiply
    314,928,513.30x = 472,392,769.95 × 314,928,513.30
  4. Step 4: Simplify right side
    314,928,513.30x = 148,769,952,734,022,432
  5. Step 5: Solve for x
    x = 148,769,952,734,022,432/314,928,513.30
  6. Step 6: Final answer
    x = 472,392,769.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.