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Finding the Fourth Proportional to 204,493,248,002.90, 306,739,872,004.35 and 204,493,248,002.90

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Solution

The fourth proportional to 204,493,248,002.90, 306,739,872,004.35 and 204,493,248,002.90 is: 306,739,872,004.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,493,248,002.90 : 306,739,872,004.35 = 204,493,248,002.90 : x
  2. Step 2: Convert to fraction form
    204,493,248,002.90/306,739,872,004.35 = 204,493,248,002.90/x
  3. Step 3: Cross multiply
    204,493,248,002.90x = 306,739,872,004.35 × 204,493,248,002.90
  4. Step 4: Simplify right side
    204,493,248,002.90x = 62,726,232,718,163,339,902,976
  5. Step 5: Solve for x
    x = 62,726,232,718,163,339,902,976/204,493,248,002.90
  6. Step 6: Final answer
    x = 306,739,872,004.35

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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.