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Finding the Fourth Proportional to 110,642,760.70, 165,964,141.05 and 110,642,760.70

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Solution

The fourth proportional to 110,642,760.70, 165,964,141.05 and 110,642,760.70 is: 165,964,141.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,642,760.70 : 165,964,141.05 = 110,642,760.70 : x
  2. Step 2: Convert to fraction form
    110,642,760.70/165,964,141.05 = 110,642,760.70/x
  3. Step 3: Cross multiply
    110,642,760.70x = 165,964,141.05 × 110,642,760.70
  4. Step 4: Simplify right side
    110,642,760.70x = 18,362,730,742,976,200
  5. Step 5: Solve for x
    x = 18,362,730,742,976,200/110,642,760.70
  6. Step 6: Final answer
    x = 165,964,141.05

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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.