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Finding the Fourth Proportional to 377,587,008,019.88, 566,380,512,029.85 and 377,587,008,019.88

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Solution

The fourth proportional to 377,587,008,019.88, 566,380,512,029.85 and 377,587,008,019.88 is: 566,380,512,029.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,587,008,019.88 : 566,380,512,029.85 = 377,587,008,019.88 : x
  2. Step 2: Convert to fraction form
    377,587,008,019.88/566,380,512,029.85 = 377,587,008,019.88/x
  3. Step 3: Cross multiply
    377,587,008,019.88x = 566,380,512,029.85 × 377,587,008,019.88
  4. Step 4: Simplify right side
    377,587,008,019.88x = 213,857,922,938,118,705,512,448
  5. Step 5: Solve for x
    x = 213,857,922,938,118,705,512,448/377,587,008,019.88
  6. Step 6: Final answer
    x = 566,380,512,029.85

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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.