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Finding the Fourth Proportional to 314,927,997.60, 472,391,996.40 and 222,213,194.40

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Solution

The fourth proportional to 314,927,997.60, 472,391,996.40 and 222,213,194.40 is: 333,319,791.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,927,997.60 : 472,391,996.40 = 222,213,194.40 : x
  2. Step 2: Convert to fraction form
    314,927,997.60/472,391,996.40 = 222,213,194.40/x
  3. Step 3: Cross multiply
    314,927,997.60x = 472,391,996.40 × 222,213,194.40
  4. Step 4: Simplify right side
    314,927,997.60x = 104,971,734,529,037,296
  5. Step 5: Solve for x
    x = 104,971,734,529,037,296/314,927,997.60
  6. Step 6: Final answer
    x = 333,319,791.60

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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.