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Finding the Fourth Proportional to 566,778,849.90, 850,168,274.85 and 566,778,849.90

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Solution

The fourth proportional to 566,778,849.90, 850,168,274.85 and 566,778,849.90 is: 850,168,274.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,778,849.90 : 850,168,274.85 = 566,778,849.90 : x
  2. Step 2: Convert to fraction form
    566,778,849.90/850,168,274.85 = 566,778,849.90/x
  3. Step 3: Cross multiply
    566,778,849.90x = 850,168,274.85 × 566,778,849.90
  4. Step 4: Simplify right side
    566,778,849.90x = 481,857,397,040,950,080
  5. Step 5: Solve for x
    x = 481,857,397,040,950,080/566,778,849.90
  6. Step 6: Final answer
    x = 850,168,274.85

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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.