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Finding the Fourth Proportional to 403,478,243.80, 605,217,365.70 and 265,728,736.60

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Solution

The fourth proportional to 403,478,243.80, 605,217,365.70 and 265,728,736.60 is: 398,593,104.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,478,243.80 : 605,217,365.70 = 265,728,736.60 : x
  2. Step 2: Convert to fraction form
    403,478,243.80/605,217,365.70 = 265,728,736.60/x
  3. Step 3: Cross multiply
    403,478,243.80x = 605,217,365.70 × 265,728,736.60
  4. Step 4: Simplify right side
    403,478,243.80x = 160,823,645,955,841,184
  5. Step 5: Solve for x
    x = 160,823,645,955,841,184/403,478,243.80
  6. Step 6: Final answer
    x = 398,593,104.90

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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.