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Finding the Fourth Proportional to 852,769,405.60, 1,279,154,108.40 and 852,769,405.60

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Solution

The fourth proportional to 852,769,405.60, 1,279,154,108.40 and 852,769,405.60 is: 1,279,154,108.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,769,405.60 : 1,279,154,108.40 = 852,769,405.60 : x
  2. Step 2: Convert to fraction form
    852,769,405.60/1,279,154,108.40 = 852,769,405.60/x
  3. Step 3: Cross multiply
    852,769,405.60x = 1,279,154,108.40 × 852,769,405.60
  4. Step 4: Simplify right side
    852,769,405.60x = 1,090,823,488,691,066,112
  5. Step 5: Solve for x
    x = 1,090,823,488,691,066,112/852,769,405.60
  6. Step 6: Final answer
    x = 1,279,154,108.40

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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.