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Finding the Fourth Proportional to 78,515,879.76, 117,764,809.20 and 21,012,636.78

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Solution

The fourth proportional to 78,515,879.76, 117,764,809.20 and 21,012,636.78 is: 31,516,543.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,515,879.76 : 117,764,809.20 = 21,012,636.78 : x
  2. Step 2: Convert to fraction form
    78,515,879.76/117,764,809.20 = 21,012,636.78/x
  3. Step 3: Cross multiply
    78,515,879.76x = 117,764,809.20 × 21,012,636.78
  4. Step 4: Simplify right side
    78,515,879.76x = 2,474,549,161,185,602.50
  5. Step 5: Solve for x
    x = 2,474,549,161,185,602.50/78,515,879.76
  6. Step 6: Final answer
    x = 31,516,543.77

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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.