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Finding the Fourth Proportional to 967,658,562,003.03, 1,451,487,843,004.50 and 967,658,562,003.03

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Solution

The fourth proportional to 967,658,562,003.03, 1,451,487,843,004.50 and 967,658,562,003.03 is: 1,451,487,843,004.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,658,562,003.03 : 1,451,487,843,004.50 = 967,658,562,003.03 : x
  2. Step 2: Convert to fraction form
    967,658,562,003.03/1,451,487,843,004.50 = 967,658,562,003.03/x
  3. Step 3: Cross multiply
    967,658,562,003.03x = 1,451,487,843,004.50 × 967,658,562,003.03
  4. Step 4: Simplify right side
    967,658,562,003.03x = 1,404,544,638,926,614,217,883,648
  5. Step 5: Solve for x
    x = 1,404,544,638,926,614,217,883,648/967,658,562,003.03
  6. Step 6: Final answer
    x = 1,451,487,843,004.50

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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.