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Finding the Fourth Proportional to 551,635,758,046.20, 827,453,637,069.30 and 551,635,758,046.20

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Solution

The fourth proportional to 551,635,758,046.20, 827,453,637,069.30 and 551,635,758,046.20 is: 827,453,637,069.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,635,758,046.20 : 827,453,637,069.30 = 551,635,758,046.20 : x
  2. Step 2: Convert to fraction form
    551,635,758,046.20/827,453,637,069.30 = 551,635,758,046.20/x
  3. Step 3: Cross multiply
    551,635,758,046.20x = 827,453,637,069.30 × 551,635,758,046.20
  4. Step 4: Simplify right side
    551,635,758,046.20x = 456,453,014,332,808,563,261,440
  5. Step 5: Solve for x
    x = 456,453,014,332,808,563,261,440/551,635,758,046.20
  6. Step 6: Final answer
    x = 827,453,637,069.30

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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.