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Finding the Fourth Proportional to 731,068,893.14, 1,096,638,772.36 and 239,738,697.86

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Solution

The fourth proportional to 731,068,893.14, 1,096,638,772.36 and 239,738,697.86 is: 359,619,666.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,068,893.14 : 1,096,638,772.36 = 239,738,697.86 : x
  2. Step 2: Convert to fraction form
    731,068,893.14/1,096,638,772.36 = 239,738,697.86/x
  3. Step 3: Cross multiply
    731,068,893.14x = 1,096,638,772.36 × 239,738,697.86
  4. Step 4: Simplify right side
    731,068,893.14x = 262,906,751,308,375,360
  5. Step 5: Solve for x
    x = 262,906,751,308,375,360/731,068,893.14
  6. Step 6: Final answer
    x = 359,619,666.18

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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.