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Finding the Fourth Proportional to 551,671,242,092.10, 827,506,863,138.23 and 551,671,242,092.10

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Solution

The fourth proportional to 551,671,242,092.10, 827,506,863,138.23 and 551,671,242,092.10 is: 827,506,863,138.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,671,242,092.10 : 827,506,863,138.23 = 551,671,242,092.10 : x
  2. Step 2: Convert to fraction form
    551,671,242,092.10/827,506,863,138.23 = 551,671,242,092.10/x
  3. Step 3: Cross multiply
    551,671,242,092.10x = 827,506,863,138.23 × 551,671,242,092.10
  4. Step 4: Simplify right side
    551,671,242,092.10x = 456,511,739,027,204,681,498,624
  5. Step 5: Solve for x
    x = 456,511,739,027,204,681,498,624/551,671,242,092.10
  6. Step 6: Final answer
    x = 827,506,863,138.23

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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.