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Finding the Fourth Proportional to 242,757,314.90, 364,135,972.35 and 242,757,314.90

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Solution

The fourth proportional to 242,757,314.90, 364,135,972.35 and 242,757,314.90 is: 364,135,972.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,757,314.90 : 364,135,972.35 = 242,757,314.90 : x
  2. Step 2: Convert to fraction form
    242,757,314.90/364,135,972.35 = 242,757,314.90/x
  3. Step 3: Cross multiply
    242,757,314.90x = 364,135,972.35 × 242,757,314.90
  4. Step 4: Simplify right side
    242,757,314.90x = 88,396,670,906,186,656
  5. Step 5: Solve for x
    x = 88,396,670,906,186,656/242,757,314.90
  6. Step 6: Final answer
    x = 364,135,972.35

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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.