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Finding the Fourth Proportional to 3,204,806,431.90, 4,807,209,647.85 and 3,204,806,431.90

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Solution

The fourth proportional to 3,204,806,431.90, 4,807,209,647.85 and 3,204,806,431.90 is: 4,807,209,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204,806,431.90 : 4,807,209,647.85 = 3,204,806,431.90 : x
  2. Step 2: Convert to fraction form
    3,204,806,431.90/4,807,209,647.85 = 3,204,806,431.90/x
  3. Step 3: Cross multiply
    3,204,806,431.90x = 4,807,209,647.85 × 3,204,806,431.90
  4. Step 4: Simplify right side
    3,204,806,431.90x = 15,406,176,398,921,416,704
  5. Step 5: Solve for x
    x = 15,406,176,398,921,416,704/3,204,806,431.90
  6. Step 6: Final answer
    x = 4,807,209,647.85

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1.5x scale

Why These Related Problems?

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