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Finding the Fourth Proportional to 78,732,068.20, 109,969,803.80 and 78,732,068.20

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Solution

The fourth proportional to 78,732,068.20, 109,969,803.80 and 78,732,068.20 is: 109,969,803.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,732,068.20 : 109,969,803.80 = 78,732,068.20 : x
  2. Step 2: Convert to fraction form
    78,732,068.20/109,969,803.80 = 78,732,068.20/x
  3. Step 3: Cross multiply
    78,732,068.20x = 109,969,803.80 × 78,732,068.20
  4. Step 4: Simplify right side
    78,732,068.20x = 8,658,150,092,722,219
  5. Step 5: Solve for x
    x = 8,658,150,092,722,219/78,732,068.20
  6. Step 6: Final answer
    x = 109,969,803.80

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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.