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Finding the Fourth Proportional to 377,587,008,045.05, 566,380,512,067.55 and 377,587,008,045.05

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Solution

The fourth proportional to 377,587,008,045.05, 566,380,512,067.55 and 377,587,008,045.05 is: 566,380,512,067.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,587,008,045.05 : 566,380,512,067.55 = 377,587,008,045.05 : x
  2. Step 2: Convert to fraction form
    377,587,008,045.05/566,380,512,067.55 = 377,587,008,045.05/x
  3. Step 3: Cross multiply
    377,587,008,045.05x = 566,380,512,067.55 × 377,587,008,045.05
  4. Step 4: Simplify right side
    377,587,008,045.05x = 213,857,922,966,609,538,842,624
  5. Step 5: Solve for x
    x = 213,857,922,966,609,538,842,624/377,587,008,045.05
  6. Step 6: Final answer
    x = 566,380,512,067.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.