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Finding the Fourth Proportional to 212,706,804,942.70, 319,060,207,414.05 and 212,706,804,942.70

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Solution

The fourth proportional to 212,706,804,942.70, 319,060,207,414.05 and 212,706,804,942.70 is: 319,060,207,414.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,706,804,942.70 : 319,060,207,414.05 = 212,706,804,942.70 : x
  2. Step 2: Convert to fraction form
    212,706,804,942.70/319,060,207,414.05 = 212,706,804,942.70/x
  3. Step 3: Cross multiply
    212,706,804,942.70x = 319,060,207,414.05 × 212,706,804,942.70
  4. Step 4: Simplify right side
    212,706,804,942.70x = 67,866,277,303,397,740,707,840
  5. Step 5: Solve for x
    x = 67,866,277,303,397,740,707,840/212,706,804,942.70
  6. Step 6: Final answer
    x = 319,060,207,414.05

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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.