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Finding the Fourth Proportional to 110,162,449.20, 165,243,673.80 and 97,407,865.20

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Solution

The fourth proportional to 110,162,449.20, 165,243,673.80 and 97,407,865.20 is: 146,111,797.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,162,449.20 : 165,243,673.80 = 97,407,865.20 : x
  2. Step 2: Convert to fraction form
    110,162,449.20/165,243,673.80 = 97,407,865.20/x
  3. Step 3: Cross multiply
    110,162,449.20x = 165,243,673.80 × 97,407,865.20
  4. Step 4: Simplify right side
    110,162,449.20x = 16,096,033,502,663,174
  5. Step 5: Solve for x
    x = 16,096,033,502,663,174/110,162,449.20
  6. Step 6: Final answer
    x = 146,111,797.80

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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.