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Finding the Fourth Proportional to 565,778,662.32, 848,668,228.80 and 254,522,719.98

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Solution

The fourth proportional to 565,778,662.32, 848,668,228.80 and 254,522,719.98 is: 381,784,185.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,778,662.32 : 848,668,228.80 = 254,522,719.98 : x
  2. Step 2: Convert to fraction form
    565,778,662.32/848,668,228.80 = 254,522,719.98/x
  3. Step 3: Cross multiply
    565,778,662.32x = 848,668,228.80 × 254,522,719.98
  4. Step 4: Simplify right side
    565,778,662.32x = 216,005,345,954,784,960
  5. Step 5: Solve for x
    x = 216,005,345,954,784,960/565,778,662.32
  6. Step 6: Final answer
    x = 381,784,185.83

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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.