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Finding the Fourth Proportional to 377,587,008,047.75, 566,380,512,071.70 and 377,587,008,047.75

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Solution

The fourth proportional to 377,587,008,047.75, 566,380,512,071.70 and 377,587,008,047.75 is: 566,380,512,071.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,587,008,047.75 : 566,380,512,071.70 = 377,587,008,047.75 : x
  2. Step 2: Convert to fraction form
    377,587,008,047.75/566,380,512,071.70 = 377,587,008,047.75/x
  3. Step 3: Cross multiply
    377,587,008,047.75x = 566,380,512,071.70 × 377,587,008,047.75
  4. Step 4: Simplify right side
    377,587,008,047.75x = 213,857,922,969,705,740,500,992
  5. Step 5: Solve for x
    x = 213,857,922,969,705,740,500,992/377,587,008,047.75
  6. Step 6: Final answer
    x = 566,380,512,071.70

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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.