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Finding the Fourth Proportional to 220,329,828,709.20, 309,049,491,423.60 and 220,329,828,709.20

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Solution

The fourth proportional to 220,329,828,709.20, 309,049,491,423.60 and 220,329,828,709.20 is: 309,049,491,423.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,329,828,709.20 : 309,049,491,423.60 = 220,329,828,709.20 : x
  2. Step 2: Convert to fraction form
    220,329,828,709.20/309,049,491,423.60 = 220,329,828,709.20/x
  3. Step 3: Cross multiply
    220,329,828,709.20x = 309,049,491,423.60 × 220,329,828,709.20
  4. Step 4: Simplify right side
    220,329,828,709.20x = 68,092,821,508,027,160,985,600
  5. Step 5: Solve for x
    x = 68,092,821,508,027,160,985,600/220,329,828,709.20
  6. Step 6: Final answer
    x = 309,049,491,423.60

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.