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Finding the Fourth Proportional to 337,965,696,066.20, 506,948,544,099.30 and 337,965,696,066.20

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Solution

The fourth proportional to 337,965,696,066.20, 506,948,544,099.30 and 337,965,696,066.20 is: 506,948,544,099.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,965,696,066.20 : 506,948,544,099.30 = 337,965,696,066.20 : x
  2. Step 2: Convert to fraction form
    337,965,696,066.20/506,948,544,099.30 = 337,965,696,066.20/x
  3. Step 3: Cross multiply
    337,965,696,066.20x = 506,948,544,099.30 × 337,965,696,066.20
  4. Step 4: Simplify right side
    337,965,696,066.20x = 171,331,217,576,266,609,721,344
  5. Step 5: Solve for x
    x = 171,331,217,576,266,609,721,344/337,965,696,066.20
  6. Step 6: Final answer
    x = 506,948,544,099.30

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Double scale
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Similar ratio
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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.