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Finding the Fourth Proportional to 396,576,009.10, 594,864,013.65 and 396,576,009.10

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Solution

The fourth proportional to 396,576,009.10, 594,864,013.65 and 396,576,009.10 is: 594,864,013.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,576,009.10 : 594,864,013.65 = 396,576,009.10 : x
  2. Step 2: Convert to fraction form
    396,576,009.10/594,864,013.65 = 396,576,009.10/x
  3. Step 3: Cross multiply
    396,576,009.10x = 594,864,013.65 × 396,576,009.10
  4. Step 4: Simplify right side
    396,576,009.10x = 235,908,796,490,524,928
  5. Step 5: Solve for x
    x = 235,908,796,490,524,928/396,576,009.10
  6. Step 6: Final answer
    x = 594,864,013.65

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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.