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Finding the Fourth Proportional to 413,168,917,672.80, 619,753,376,509.20 and 413,168,917,672.80

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Solution

The fourth proportional to 413,168,917,672.80, 619,753,376,509.20 and 413,168,917,672.80 is: 619,753,376,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,168,917,672.80 : 619,753,376,509.20 = 413,168,917,672.80 : x
  2. Step 2: Convert to fraction form
    413,168,917,672.80/619,753,376,509.20 = 413,168,917,672.80/x
  3. Step 3: Cross multiply
    413,168,917,672.80x = 619,753,376,509.20 × 413,168,917,672.80
  4. Step 4: Simplify right side
    413,168,917,672.80x = 256,062,831,796,369,437,491,200
  5. Step 5: Solve for x
    x = 256,062,831,796,369,437,491,200/413,168,917,672.80
  6. Step 6: Final answer
    x = 619,753,376,509.20

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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.