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Finding the Fourth Proportional to 436,100,705,363.40, 654,151,058,045.10 and 436,100,705,363.40

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Solution

The fourth proportional to 436,100,705,363.40, 654,151,058,045.10 and 436,100,705,363.40 is: 654,151,058,045.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,100,705,363.40 : 654,151,058,045.10 = 436,100,705,363.40 : x
  2. Step 2: Convert to fraction form
    436,100,705,363.40/654,151,058,045.10 = 436,100,705,363.40/x
  3. Step 3: Cross multiply
    436,100,705,363.40x = 654,151,058,045.10 × 436,100,705,363.40
  4. Step 4: Simplify right side
    436,100,705,363.40x = 285,275,737,827,682,543,468,544
  5. Step 5: Solve for x
    x = 285,275,737,827,682,543,468,544/436,100,705,363.40
  6. Step 6: Final answer
    x = 654,151,058,045.10

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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.