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Finding the Fourth Proportional to 220,876,278,209.10, 331,314,417,313.65 and 220,876,278,209.10

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Solution

The fourth proportional to 220,876,278,209.10, 331,314,417,313.65 and 220,876,278,209.10 is: 331,314,417,313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,876,278,209.10 : 331,314,417,313.65 = 220,876,278,209.10 : x
  2. Step 2: Convert to fraction form
    220,876,278,209.10/331,314,417,313.65 = 220,876,278,209.10/x
  3. Step 3: Cross multiply
    220,876,278,209.10x = 331,314,417,313.65 × 220,876,278,209.10
  4. Step 4: Simplify right side
    220,876,278,209.10x = 73,179,495,413,255,623,409,664
  5. Step 5: Solve for x
    x = 73,179,495,413,255,623,409,664/220,876,278,209.10
  6. Step 6: Final answer
    x = 331,314,417,313.65

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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.