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Finding the Fourth Proportional to 565,778,684.88, 848,668,262.64 and 254,522,742.48

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Solution

The fourth proportional to 565,778,684.88, 848,668,262.64 and 254,522,742.48 is: 381,784,219.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,778,684.88 : 848,668,262.64 = 254,522,742.48 : x
  2. Step 2: Convert to fraction form
    565,778,684.88/848,668,262.64 = 254,522,742.48/x
  3. Step 3: Cross multiply
    565,778,684.88x = 848,668,262.64 × 254,522,742.48
  4. Step 4: Simplify right side
    565,778,684.88x = 216,005,373,662,869,728
  5. Step 5: Solve for x
    x = 216,005,373,662,869,728/565,778,684.88
  6. Step 6: Final answer
    x = 381,784,219.58

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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.