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Finding the Fourth Proportional to 3,204,806,449.15, 4,807,209,673.73 and 3,204,806,449.15

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Solution

The fourth proportional to 3,204,806,449.15, 4,807,209,673.73 and 3,204,806,449.15 is: 4,807,209,673.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204,806,449.15 : 4,807,209,673.73 = 3,204,806,449.15 : x
  2. Step 2: Convert to fraction form
    3,204,806,449.15/4,807,209,673.73 = 3,204,806,449.15/x
  3. Step 3: Cross multiply
    3,204,806,449.15x = 4,807,209,673.73 × 3,204,806,449.15
  4. Step 4: Simplify right side
    3,204,806,449.15x = 15,406,176,564,786,169,856
  5. Step 5: Solve for x
    x = 15,406,176,564,786,169,856/3,204,806,449.15
  6. Step 6: Final answer
    x = 4,807,209,673.73

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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.