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Finding the Fourth Proportional to 110,008,728,002.03, 165,013,092,003.04 and 110,008,728,002.03

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Solution

The fourth proportional to 110,008,728,002.03, 165,013,092,003.04 and 110,008,728,002.03 is: 165,013,092,003.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,008,728,002.03 : 165,013,092,003.04 = 110,008,728,002.03 : x
  2. Step 2: Convert to fraction form
    110,008,728,002.03/165,013,092,003.04 = 110,008,728,002.03/x
  3. Step 3: Cross multiply
    110,008,728,002.03x = 165,013,092,003.04 × 110,008,728,002.03
  4. Step 4: Simplify right side
    110,008,728,002.03x = 18,152,880,354,936,378,884,096
  5. Step 5: Solve for x
    x = 18,152,880,354,936,378,884,096/110,008,728,002.03
  6. Step 6: Final answer
    x = 165,013,092,003.04

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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.