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Finding the Fourth Proportional to 920,219,616,002.30, 1,380,329,424,003.40 and 920,219,616,002.30

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Solution

The fourth proportional to 920,219,616,002.30, 1,380,329,424,003.40 and 920,219,616,002.30 is: 1,380,329,424,003.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,219,616,002.30 : 1,380,329,424,003.40 = 920,219,616,002.30 : x
  2. Step 2: Convert to fraction form
    920,219,616,002.30/1,380,329,424,003.40 = 920,219,616,002.30/x
  3. Step 3: Cross multiply
    920,219,616,002.30x = 1,380,329,424,003.40 × 920,219,616,002.30
  4. Step 4: Simplify right side
    920,219,616,002.30x = 1,270,206,212,513,084,769,042,432
  5. Step 5: Solve for x
    x = 1,270,206,212,513,084,769,042,432/920,219,616,002.30
  6. Step 6: Final answer
    x = 1,380,329,424,003.40

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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.