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Finding the Fourth Proportional to 204,175,511.20, 306,263,266.80 and 204,175,511.20

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Solution

The fourth proportional to 204,175,511.20, 306,263,266.80 and 204,175,511.20 is: 306,263,266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,175,511.20 : 306,263,266.80 = 204,175,511.20 : x
  2. Step 2: Convert to fraction form
    204,175,511.20/306,263,266.80 = 204,175,511.20/x
  3. Step 3: Cross multiply
    204,175,511.20x = 306,263,266.80 × 204,175,511.20
  4. Step 4: Simplify right side
    204,175,511.20x = 62,531,459,060,671,984
  5. Step 5: Solve for x
    x = 62,531,459,060,671,984/204,175,511.20
  6. Step 6: Final answer
    x = 306,263,266.80

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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.