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Finding the Fourth Proportional to 425,413,607,058.52, 638,120,410,587.78 and 425,413,607,058.52

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Solution

The fourth proportional to 425,413,607,058.52, 638,120,410,587.78 and 425,413,607,058.52 is: 638,120,410,587.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,413,607,058.52 : 638,120,410,587.78 = 425,413,607,058.52 : x
  2. Step 2: Convert to fraction form
    425,413,607,058.52/638,120,410,587.78 = 425,413,607,058.52/x
  3. Step 3: Cross multiply
    425,413,607,058.52x = 638,120,410,587.78 × 425,413,607,058.52
  4. Step 4: Simplify right side
    425,413,607,058.52x = 271,465,105,605,811,320,651,776
  5. Step 5: Solve for x
    x = 271,465,105,605,811,320,651,776/425,413,607,058.52
  6. Step 6: Final answer
    x = 638,120,410,587.78

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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.