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Finding the Fourth Proportional to 77,711,972.80, 108,956,014.40 and 77,711,972.80

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Solution

The fourth proportional to 77,711,972.80, 108,956,014.40 and 77,711,972.80 is: 108,956,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,711,972.80 : 108,956,014.40 = 77,711,972.80 : x
  2. Step 2: Convert to fraction form
    77,711,972.80/108,956,014.40 = 77,711,972.80/x
  3. Step 3: Cross multiply
    77,711,972.80x = 108,956,014.40 × 77,711,972.80
  4. Step 4: Simplify right side
    77,711,972.80x = 8,467,186,827,449,208
  5. Step 5: Solve for x
    x = 8,467,186,827,449,208/77,711,972.80
  6. Step 6: Final answer
    x = 108,956,014.40

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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.