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Finding the Fourth Proportional to 323,616,343,553.40, 485,424,515,330.10 and 323,616,343,553.40

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Solution

The fourth proportional to 323,616,343,553.40, 485,424,515,330.10 and 323,616,343,553.40 is: 485,424,515,330.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,616,343,553.40 : 485,424,515,330.10 = 323,616,343,553.40 : x
  2. Step 2: Convert to fraction form
    323,616,343,553.40/485,424,515,330.10 = 323,616,343,553.40/x
  3. Step 3: Cross multiply
    323,616,343,553.40x = 485,424,515,330.10 × 323,616,343,553.40
  4. Step 4: Simplify right side
    323,616,343,553.40x = 157,091,306,722,308,340,580,352
  5. Step 5: Solve for x
    x = 157,091,306,722,308,340,580,352/323,616,343,553.40
  6. Step 6: Final answer
    x = 485,424,515,330.10

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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.