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Finding the Fourth Proportional to 140,919,201.60, 211,378,802.40 and 140,919,201.60

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Solution

The fourth proportional to 140,919,201.60, 211,378,802.40 and 140,919,201.60 is: 211,378,802.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,919,201.60 : 211,378,802.40 = 140,919,201.60 : x
  2. Step 2: Convert to fraction form
    140,919,201.60/211,378,802.40 = 140,919,201.60/x
  3. Step 3: Cross multiply
    140,919,201.60x = 211,378,802.40 × 140,919,201.60
  4. Step 4: Simplify right side
    140,919,201.60x = 29,787,332,069,372,164
  5. Step 5: Solve for x
    x = 29,787,332,069,372,164/140,919,201.60
  6. Step 6: Final answer
    x = 211,378,802.40

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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.