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Finding the Fourth Proportional to 969,832,401.25, 1,454,761,199 and 323,600,145.25

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Solution

The fourth proportional to 969,832,401.25, 1,454,761,199 and 323,600,145.25 is: 485,404,421.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,832,401.25 : 1,454,761,199 = 323,600,145.25 : x
  2. Step 2: Convert to fraction form
    969,832,401.25/1,454,761,199 = 323,600,145.25/x
  3. Step 3: Cross multiply
    969,832,401.25x = 1,454,761,199 × 323,600,145.25
  4. Step 4: Simplify right side
    969,832,401.25x = 470,760,935,300,464,128
  5. Step 5: Solve for x
    x = 470,760,935,300,464,128/969,832,401.25
  6. Step 6: Final answer
    x = 485,404,421.11

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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.