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Finding the Fourth Proportional to 736,754,485,443.90, 1,105,131,728,165.90 and 736,754,485,443.90

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Solution

The fourth proportional to 736,754,485,443.90, 1,105,131,728,165.90 and 736,754,485,443.90 is: 1,105,131,728,165.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,754,485,443.90 : 1,105,131,728,165.90 = 736,754,485,443.90 : x
  2. Step 2: Convert to fraction form
    736,754,485,443.90/1,105,131,728,165.90 = 736,754,485,443.90/x
  3. Step 3: Cross multiply
    736,754,485,443.90x = 1,105,131,728,165.90 × 736,754,485,443.90
  4. Step 4: Simplify right side
    736,754,485,443.90x = 814,210,757,732,595,528,630,272
  5. Step 5: Solve for x
    x = 814,210,757,732,595,528,630,272/736,754,485,443.90
  6. Step 6: Final answer
    x = 1,105,131,728,165.90

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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.