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Finding the Fourth Proportional to 75,644,928,006.80, 113,467,392,010.20 and 75,644,928,006.80

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Solution

The fourth proportional to 75,644,928,006.80, 113,467,392,010.20 and 75,644,928,006.80 is: 113,467,392,010.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,644,928,006.80 : 113,467,392,010.20 = 75,644,928,006.80 : x
  2. Step 2: Convert to fraction form
    75,644,928,006.80/113,467,392,010.20 = 75,644,928,006.80/x
  3. Step 3: Cross multiply
    75,644,928,006.80x = 113,467,392,010.20 × 75,644,928,006.80
  4. Step 4: Simplify right side
    75,644,928,006.80x = 8,583,232,699,730,932,793,344
  5. Step 5: Solve for x
    x = 8,583,232,699,730,932,793,344/75,644,928,006.80
  6. Step 6: Final answer
    x = 113,467,392,010.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.