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Finding the Fourth Proportional to 270,507,207, 406,023,195.44 and 130,546,160.76

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Solution

The fourth proportional to 270,507,207, 406,023,195.44 and 130,546,160.76 is: 195,945,867.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,507,207 : 406,023,195.44 = 130,546,160.76 : x
  2. Step 2: Convert to fraction form
    270,507,207/406,023,195.44 = 130,546,160.76/x
  3. Step 3: Cross multiply
    270,507,207x = 406,023,195.44 × 130,546,160.76
  4. Step 4: Simplify right side
    270,507,207x = 53,004,769,344,199,144
  5. Step 5: Solve for x
    x = 53,004,769,344,199,144/270,507,207
  6. Step 6: Final answer
    x = 195,945,867.51

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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.