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Finding the Fourth Proportional to 140,744,665.60, 211,116,998.40 and 140,744,665.60

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Solution

The fourth proportional to 140,744,665.60, 211,116,998.40 and 140,744,665.60 is: 211,116,998.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,744,665.60 : 211,116,998.40 = 140,744,665.60 : x
  2. Step 2: Convert to fraction form
    140,744,665.60/211,116,998.40 = 140,744,665.60/x
  3. Step 3: Cross multiply
    140,744,665.60x = 211,116,998.40 × 140,744,665.60
  4. Step 4: Simplify right side
    140,744,665.60x = 29,713,591,342,283,736
  5. Step 5: Solve for x
    x = 29,713,591,342,283,736/140,744,665.60
  6. Step 6: Final answer
    x = 211,116,998.40

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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.