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Finding the Fourth Proportional to 1,603,378,616.70, 2,239,892,769.30 and 1,603,378,616.70

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Solution

The fourth proportional to 1,603,378,616.70, 2,239,892,769.30 and 1,603,378,616.70 is: 2,239,892,769.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603,378,616.70 : 2,239,892,769.30 = 1,603,378,616.70 : x
  2. Step 2: Convert to fraction form
    1,603,378,616.70/2,239,892,769.30 = 1,603,378,616.70/x
  3. Step 3: Cross multiply
    1,603,378,616.70x = 2,239,892,769.30 × 1,603,378,616.70
  4. Step 4: Simplify right side
    1,603,378,616.70x = 3,591,396,169,996,566,528
  5. Step 5: Solve for x
    x = 3,591,396,169,996,566,528/1,603,378,616.70
  6. Step 6: Final answer
    x = 2,239,892,769.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.