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Finding the Fourth Proportional to 193,293,978.40, 266,745,734.16 and 106,373,850.40

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Solution

The fourth proportional to 193,293,978.40, 266,745,734.16 and 106,373,850.40 is: 146,795,937.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,293,978.40 : 266,745,734.16 = 106,373,850.40 : x
  2. Step 2: Convert to fraction form
    193,293,978.40/266,745,734.16 = 106,373,850.40/x
  3. Step 3: Cross multiply
    193,293,978.40x = 266,745,734.16 × 106,373,850.40
  4. Step 4: Simplify right side
    193,293,978.40x = 28,374,770,820,374,012
  5. Step 5: Solve for x
    x = 28,374,770,820,374,012/193,293,978.40
  6. Step 6: Final answer
    x = 146,795,937.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.