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Finding the Fourth Proportional to 206,460,436,396.51, 309,690,654,594.76 and 206,460,436,396.51

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Solution

The fourth proportional to 206,460,436,396.51, 309,690,654,594.76 and 206,460,436,396.51 is: 309,690,654,594.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,460,436,396.51 : 309,690,654,594.76 = 206,460,436,396.51 : x
  2. Step 2: Convert to fraction form
    206,460,436,396.51/309,690,654,594.76 = 206,460,436,396.51/x
  3. Step 3: Cross multiply
    206,460,436,396.51x = 309,690,654,594.76 × 206,460,436,396.51
  4. Step 4: Simplify right side
    206,460,436,396.51x = 63,938,867,695,554,995,945,472
  5. Step 5: Solve for x
    x = 63,938,867,695,554,995,945,472/206,460,436,396.51
  6. Step 6: Final answer
    x = 309,690,654,594.76

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1.5x scale

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.