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Finding the Fourth Proportional to 140,378,268.15, 210,567,402.23 and 140,378,268.15

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Solution

The fourth proportional to 140,378,268.15, 210,567,402.23 and 140,378,268.15 is: 210,567,402.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,378,268.15 : 210,567,402.23 = 140,378,268.15 : x
  2. Step 2: Convert to fraction form
    140,378,268.15/210,567,402.23 = 140,378,268.15/x
  3. Step 3: Cross multiply
    140,378,268.15x = 210,567,402.23 × 140,378,268.15
  4. Step 4: Simplify right side
    140,378,268.15x = 29,559,087,253,189,956
  5. Step 5: Solve for x
    x = 29,559,087,253,189,956/140,378,268.15
  6. Step 6: Final answer
    x = 210,567,402.23

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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.