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Finding the Fourth Proportional to 217,228,392,000.30, 325,842,588,000.45 and 217,228,392,000.30

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Solution

The fourth proportional to 217,228,392,000.30, 325,842,588,000.45 and 217,228,392,000.30 is: 325,842,588,000.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,228,392,000.30 : 325,842,588,000.45 = 217,228,392,000.30 : x
  2. Step 2: Convert to fraction form
    217,228,392,000.30/325,842,588,000.45 = 217,228,392,000.30/x
  3. Step 3: Cross multiply
    217,228,392,000.30x = 325,842,588,000.45 × 217,228,392,000.30
  4. Step 4: Simplify right side
    217,228,392,000.30x = 70,782,261,436,553,996,795,904
  5. Step 5: Solve for x
    x = 70,782,261,436,553,996,795,904/217,228,392,000.30
  6. Step 6: Final answer
    x = 325,842,588,000.45

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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.