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Finding the Fourth Proportional to 283,609,071,371.60, 425,413,607,057.40 and 283,609,071,371.60

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Solution

The fourth proportional to 283,609,071,371.60, 425,413,607,057.40 and 283,609,071,371.60 is: 425,413,607,057.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,609,071,371.60 : 425,413,607,057.40 = 283,609,071,371.60 : x
  2. Step 2: Convert to fraction form
    283,609,071,371.60/425,413,607,057.40 = 283,609,071,371.60/x
  3. Step 3: Cross multiply
    283,609,071,371.60x = 425,413,607,057.40 × 283,609,071,371.60
  4. Step 4: Simplify right side
    283,609,071,371.60x = 120,651,158,046,391,958,241,280
  5. Step 5: Solve for x
    x = 120,651,158,046,391,958,241,280/283,609,071,371.60
  6. Step 6: Final answer
    x = 425,413,607,057.40

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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.