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Finding the Fourth Proportional to 206,032,896,015.70, 309,049,344,023.55 and 206,032,896,015.70

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Solution

The fourth proportional to 206,032,896,015.70, 309,049,344,023.55 and 206,032,896,015.70 is: 309,049,344,023.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,032,896,015.70 : 309,049,344,023.55 = 206,032,896,015.70 : x
  2. Step 2: Convert to fraction form
    206,032,896,015.70/309,049,344,023.55 = 206,032,896,015.70/x
  3. Step 3: Cross multiply
    206,032,896,015.70x = 309,049,344,023.55 × 206,032,896,015.70
  4. Step 4: Simplify right side
    206,032,896,015.70x = 63,674,331,360,924,375,449,600
  5. Step 5: Solve for x
    x = 63,674,331,360,924,375,449,600/206,032,896,015.70
  6. Step 6: Final answer
    x = 309,049,344,023.55

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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.