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Finding the Fourth Proportional to 212,954,405.60, 319,431,608.40 and 212,954,405.60

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Solution

The fourth proportional to 212,954,405.60, 319,431,608.40 and 212,954,405.60 is: 319,431,608.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,954,405.60 : 319,431,608.40 = 212,954,405.60 : x
  2. Step 2: Convert to fraction form
    212,954,405.60/319,431,608.40 = 212,954,405.60/x
  3. Step 3: Cross multiply
    212,954,405.60x = 319,431,608.40 × 212,954,405.60
  4. Step 4: Simplify right side
    212,954,405.60x = 68,024,368,296,673,960
  5. Step 5: Solve for x
    x = 68,024,368,296,673,960/212,954,405.60
  6. Step 6: Final answer
    x = 319,431,608.40

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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.