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Finding the Fourth Proportional to 110,008,287,003.15, 165,012,430,504.73 and 110,008,287,003.15

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Solution

The fourth proportional to 110,008,287,003.15, 165,012,430,504.73 and 110,008,287,003.15 is: 165,012,430,504.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,008,287,003.15 : 165,012,430,504.73 = 110,008,287,003.15 : x
  2. Step 2: Convert to fraction form
    110,008,287,003.15/165,012,430,504.73 = 110,008,287,003.15/x
  3. Step 3: Cross multiply
    110,008,287,003.15x = 165,012,430,504.73 × 110,008,287,003.15
  4. Step 4: Simplify right side
    110,008,287,003.15x = 18,152,734,814,051,682,484,224
  5. Step 5: Solve for x
    x = 18,152,734,814,051,682,484,224/110,008,287,003.15
  6. Step 6: Final answer
    x = 165,012,430,504.73

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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.