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Finding the Fourth Proportional to 980,254,964.70, 1,468,366,907.85 and 673,893,006.30

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Solution

The fourth proportional to 980,254,964.70, 1,468,366,907.85 and 673,893,006.30 is: 1,009,453,892.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,254,964.70 : 1,468,366,907.85 = 673,893,006.30 : x
  2. Step 2: Convert to fraction form
    980,254,964.70/1,468,366,907.85 = 673,893,006.30/x
  3. Step 3: Cross multiply
    980,254,964.70x = 1,468,366,907.85 × 673,893,006.30
  4. Step 4: Simplify right side
    980,254,964.70x = 989,522,189,882,471,424
  5. Step 5: Solve for x
    x = 989,522,189,882,471,424/980,254,964.70
  6. Step 6: Final answer
    x = 1,009,453,892.63

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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.