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Finding the Fourth Proportional to 409,262,083.20, 613,893,124.80 and 409,262,083.20

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Solution

The fourth proportional to 409,262,083.20, 613,893,124.80 and 409,262,083.20 is: 613,893,124.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,262,083.20 : 613,893,124.80 = 409,262,083.20 : x
  2. Step 2: Convert to fraction form
    409,262,083.20/613,893,124.80 = 409,262,083.20/x
  3. Step 3: Cross multiply
    409,262,083.20x = 613,893,124.80 × 409,262,083.20
  4. Step 4: Simplify right side
    409,262,083.20x = 251,243,179,117,805,568
  5. Step 5: Solve for x
    x = 251,243,179,117,805,568/409,262,083.20
  6. Step 6: Final answer
    x = 613,893,124.80

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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.