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Finding the Fourth Proportional to 204,130,266.90, 306,195,400.35 and 204,130,266.90

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Solution

The fourth proportional to 204,130,266.90, 306,195,400.35 and 204,130,266.90 is: 306,195,400.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,130,266.90 : 306,195,400.35 = 204,130,266.90 : x
  2. Step 2: Convert to fraction form
    204,130,266.90/306,195,400.35 = 204,130,266.90/x
  3. Step 3: Cross multiply
    204,130,266.90x = 306,195,400.35 × 204,130,266.90
  4. Step 4: Simplify right side
    204,130,266.90x = 62,503,748,796,997,864
  5. Step 5: Solve for x
    x = 62,503,748,796,997,864/204,130,266.90
  6. Step 6: Final answer
    x = 306,195,400.35

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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.