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Finding the Fourth Proportional to 206,695,581,581.70, 310,043,372,372.55 and 206,695,581,581.70

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Solution

The fourth proportional to 206,695,581,581.70, 310,043,372,372.55 and 206,695,581,581.70 is: 310,043,372,372.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,695,581,581.70 : 310,043,372,372.55 = 206,695,581,581.70 : x
  2. Step 2: Convert to fraction form
    206,695,581,581.70/310,043,372,372.55 = 206,695,581,581.70/x
  3. Step 3: Cross multiply
    206,695,581,581.70x = 310,043,372,372.55 × 206,695,581,581.70
  4. Step 4: Simplify right side
    206,695,581,581.70x = 64,084,595,168,095,798,034,432
  5. Step 5: Solve for x
    x = 64,084,595,168,095,798,034,432/206,695,581,581.70
  6. Step 6: Final answer
    x = 310,043,372,372.55

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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.