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Finding the Fourth Proportional to 401,310,392.88, 601,936,359.48 and 180,050,247.12

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Solution

The fourth proportional to 401,310,392.88, 601,936,359.48 and 180,050,247.12 is: 270,062,256.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,310,392.88 : 601,936,359.48 = 180,050,247.12 : x
  2. Step 2: Convert to fraction form
    401,310,392.88/601,936,359.48 = 180,050,247.12/x
  3. Step 3: Cross multiply
    401,310,392.88x = 601,936,359.48 × 180,050,247.12
  4. Step 4: Simplify right side
    401,310,392.88x = 108,378,790,274,887,168
  5. Step 5: Solve for x
    x = 108,378,790,274,887,168/401,310,392.88
  6. Step 6: Final answer
    x = 270,062,256.54

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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.