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Finding the Fourth Proportional to 368,377,227,745.20, 552,565,841,617.80 and 368,377,227,745.20

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Solution

The fourth proportional to 368,377,227,745.20, 552,565,841,617.80 and 368,377,227,745.20 is: 552,565,841,617.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,377,227,745.20 : 552,565,841,617.80 = 368,377,227,745.20 : x
  2. Step 2: Convert to fraction form
    368,377,227,745.20/552,565,841,617.80 = 368,377,227,745.20/x
  3. Step 3: Cross multiply
    368,377,227,745.20x = 552,565,841,617.80 × 368,377,227,745.20
  4. Step 4: Simplify right side
    368,377,227,745.20x = 203,552,672,881,858,463,137,792
  5. Step 5: Solve for x
    x = 203,552,672,881,858,463,137,792/368,377,227,745.20
  6. Step 6: Final answer
    x = 552,565,841,617.80

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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.