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Finding the Fourth Proportional to 200,530,404,430.85, 300,795,606,646.28 and 200,530,404,430.85

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Solution

The fourth proportional to 200,530,404,430.85, 300,795,606,646.28 and 200,530,404,430.85 is: 300,795,606,646.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,530,404,430.85 : 300,795,606,646.28 = 200,530,404,430.85 : x
  2. Step 2: Convert to fraction form
    200,530,404,430.85/300,795,606,646.28 = 200,530,404,430.85/x
  3. Step 3: Cross multiply
    200,530,404,430.85x = 300,795,606,646.28 × 200,530,404,430.85
  4. Step 4: Simplify right side
    200,530,404,430.85x = 60,318,664,651,801,408,569,344
  5. Step 5: Solve for x
    x = 60,318,664,651,801,408,569,344/200,530,404,430.85
  6. Step 6: Final answer
    x = 300,795,606,646.28

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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.