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Finding the Fourth Proportional to 125,403,527,767.05, 188,105,291,650.58 and 125,403,527,767.05

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Solution

The fourth proportional to 125,403,527,767.05, 188,105,291,650.58 and 125,403,527,767.05 is: 188,105,291,650.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,403,527,767.05 : 188,105,291,650.58 = 125,403,527,767.05 : x
  2. Step 2: Convert to fraction form
    125,403,527,767.05/188,105,291,650.58 = 125,403,527,767.05/x
  3. Step 3: Cross multiply
    125,403,527,767.05x = 188,105,291,650.58 × 125,403,527,767.05
  4. Step 4: Simplify right side
    125,403,527,767.05x = 23,589,067,164,632,544,706,560
  5. Step 5: Solve for x
    x = 23,589,067,164,632,544,706,560/125,403,527,767.05
  6. Step 6: Final answer
    x = 188,105,291,650.58

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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.