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Finding the Fourth Proportional to 77,711,947.30, 108,955,978.70 and 77,711,947.30

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Solution

The fourth proportional to 77,711,947.30, 108,955,978.70 and 77,711,947.30 is: 108,955,978.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,711,947.30 : 108,955,978.70 = 77,711,947.30 : x
  2. Step 2: Convert to fraction form
    77,711,947.30/108,955,978.70 = 77,711,947.30/x
  3. Step 3: Cross multiply
    77,711,947.30x = 108,955,978.70 × 77,711,947.30
  4. Step 4: Simplify right side
    77,711,947.30x = 8,467,181,274,754,322
  5. Step 5: Solve for x
    x = 8,467,181,274,754,322/77,711,947.30
  6. Step 6: Final answer
    x = 108,955,978.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.