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Finding the Fourth Proportional to 77,702,942.80, 108,943,372.40 and 77,702,942.80

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Solution

The fourth proportional to 77,702,942.80, 108,943,372.40 and 77,702,942.80 is: 108,943,372.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,702,942.80 : 108,943,372.40 = 77,702,942.80 : x
  2. Step 2: Convert to fraction form
    77,702,942.80/108,943,372.40 = 77,702,942.80/x
  3. Step 3: Cross multiply
    77,702,942.80x = 108,943,372.40 × 77,702,942.80
  4. Step 4: Simplify right side
    77,702,942.80x = 8,465,220,634,036,299
  5. Step 5: Solve for x
    x = 8,465,220,634,036,299/77,702,942.80
  6. Step 6: Final answer
    x = 108,943,372.40

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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.