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Finding the Fourth Proportional to 110,055,276.15, 165,082,914.23 and 110,055,276.15

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Solution

The fourth proportional to 110,055,276.15, 165,082,914.23 and 110,055,276.15 is: 165,082,914.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,055,276.15 : 165,082,914.23 = 110,055,276.15 : x
  2. Step 2: Convert to fraction form
    110,055,276.15/165,082,914.23 = 110,055,276.15/x
  3. Step 3: Cross multiply
    110,055,276.15x = 165,082,914.23 × 110,055,276.15
  4. Step 4: Simplify right side
    110,055,276.15x = 18,168,245,712,679,140
  5. Step 5: Solve for x
    x = 18,168,245,712,679,140/110,055,276.15
  6. Step 6: Final answer
    x = 165,082,914.23

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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.