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Finding the Fourth Proportional to 556,029,375.70, 834,093,077.82 and 206,279,495.14

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Solution

The fourth proportional to 556,029,375.70, 834,093,077.82 and 206,279,495.14 is: 309,437,426.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,029,375.70 : 834,093,077.82 = 206,279,495.14 : x
  2. Step 2: Convert to fraction form
    556,029,375.70/834,093,077.82 = 206,279,495.14/x
  3. Step 3: Cross multiply
    556,029,375.70x = 834,093,077.82 × 206,279,495.14
  4. Step 4: Simplify right side
    556,029,375.70x = 172,056,298,992,478,336
  5. Step 5: Solve for x
    x = 172,056,298,992,478,336/556,029,375.70
  6. Step 6: Final answer
    x = 309,437,426.35

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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.