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Finding the Fourth Proportional to 219,622,107,025.20, 329,433,160,537.80 and 219,622,107,025.20

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Solution

The fourth proportional to 219,622,107,025.20, 329,433,160,537.80 and 219,622,107,025.20 is: 329,433,160,537.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,622,107,025.20 : 329,433,160,537.80 = 219,622,107,025.20 : x
  2. Step 2: Convert to fraction form
    219,622,107,025.20/329,433,160,537.80 = 219,622,107,025.20/x
  3. Step 3: Cross multiply
    219,622,107,025.20x = 329,433,160,537.80 × 219,622,107,025.20
  4. Step 4: Simplify right side
    219,622,107,025.20x = 72,350,804,841,282,605,678,592
  5. Step 5: Solve for x
    x = 72,350,804,841,282,605,678,592/219,622,107,025.20
  6. Step 6: Final answer
    x = 329,433,160,537.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.