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Finding the Fourth Proportional to 613,417,954.80, 920,103,312.60 and 204,474,105.30

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Solution

The fourth proportional to 613,417,954.80, 920,103,312.60 and 204,474,105.30 is: 306,703,284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,417,954.80 : 920,103,312.60 = 204,474,105.30 : x
  2. Step 2: Convert to fraction form
    613,417,954.80/920,103,312.60 = 204,474,105.30/x
  3. Step 3: Cross multiply
    613,417,954.80x = 920,103,312.60 × 204,474,105.30
  4. Step 4: Simplify right side
    613,417,954.80x = 188,137,301,627,451,232
  5. Step 5: Solve for x
    x = 188,137,301,627,451,232/613,417,954.80
  6. Step 6: Final answer
    x = 306,703,284.69

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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.