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Finding the Fourth Proportional to 323,667,088,862.60, 485,500,633,293.90 and 323,667,088,862.60

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Solution

The fourth proportional to 323,667,088,862.60, 485,500,633,293.90 and 323,667,088,862.60 is: 485,500,633,293.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,667,088,862.60 : 485,500,633,293.90 = 323,667,088,862.60 : x
  2. Step 2: Convert to fraction form
    323,667,088,862.60/485,500,633,293.90 = 323,667,088,862.60/x
  3. Step 3: Cross multiply
    323,667,088,862.60x = 485,500,633,293.90 × 323,667,088,862.60
  4. Step 4: Simplify right side
    323,667,088,862.60x = 157,140,576,619,185,311,842,304
  5. Step 5: Solve for x
    x = 157,140,576,619,185,311,842,304/323,667,088,862.60
  6. Step 6: Final answer
    x = 485,500,633,293.90

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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.