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Finding the Fourth Proportional to 565,778,665.82, 848,668,234.04 and 254,522,723.47

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Solution

The fourth proportional to 565,778,665.82, 848,668,234.04 and 254,522,723.47 is: 381,784,191.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,778,665.82 : 848,668,234.04 = 254,522,723.47 : x
  2. Step 2: Convert to fraction form
    565,778,665.82/848,668,234.04 = 254,522,723.47/x
  3. Step 3: Cross multiply
    565,778,665.82x = 848,668,234.04 × 254,522,723.47
  4. Step 4: Simplify right side
    565,778,665.82x = 216,005,350,250,336,160
  5. Step 5: Solve for x
    x = 216,005,350,250,336,160/565,778,665.82
  6. Step 6: Final answer
    x = 381,784,191.06

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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.