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Finding the Fourth Proportional to 452,082,080, 678,224,208 and 164,867,744

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Solution

The fourth proportional to 452,082,080, 678,224,208 and 164,867,744 is: 247,338,481.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,082,080 : 678,224,208 = 164,867,744 : x
  2. Step 2: Convert to fraction form
    452,082,080/678,224,208 = 164,867,744/x
  3. Step 3: Cross multiply
    452,082,080x = 678,224,208 × 164,867,744
  4. Step 4: Simplify right side
    452,082,080x = 111,817,295,099,146,752
  5. Step 5: Solve for x
    x = 111,817,295,099,146,752/452,082,080
  6. Step 6: Final answer
    x = 247,338,481.32

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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.