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Finding the Fourth Proportional to 206,460,436,372.01, 309,690,654,558.01 and 206,460,436,372.01

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Solution

The fourth proportional to 206,460,436,372.01, 309,690,654,558.01 and 206,460,436,372.01 is: 309,690,654,558.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,460,436,372.01 : 309,690,654,558.01 = 206,460,436,372.01 : x
  2. Step 2: Convert to fraction form
    206,460,436,372.01/309,690,654,558.01 = 206,460,436,372.01/x
  3. Step 3: Cross multiply
    206,460,436,372.01x = 309,690,654,558.01 × 206,460,436,372.01
  4. Step 4: Simplify right side
    206,460,436,372.01x = 63,938,867,680,380,155,068,416
  5. Step 5: Solve for x
    x = 63,938,867,680,380,155,068,416/206,460,436,372.01
  6. Step 6: Final answer
    x = 309,690,654,558.01

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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.