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Finding the Fourth Proportional to 296,832,039.40, 414,715,508.60 and 296,832,039.40

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Solution

The fourth proportional to 296,832,039.40, 414,715,508.60 and 296,832,039.40 is: 414,715,508.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,832,039.40 : 414,715,508.60 = 296,832,039.40 : x
  2. Step 2: Convert to fraction form
    296,832,039.40/414,715,508.60 = 296,832,039.40/x
  3. Step 3: Cross multiply
    296,832,039.40x = 414,715,508.60 × 296,832,039.40
  4. Step 4: Simplify right side
    296,832,039.40x = 123,100,850,188,546,240
  5. Step 5: Solve for x
    x = 123,100,850,188,546,240/296,832,039.40
  6. Step 6: Final answer
    x = 414,715,508.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.