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Finding the Fourth Proportional to 26,161,296,006.80, 39,241,944,010.20 and 26,161,296,006.80

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Solution

The fourth proportional to 26,161,296,006.80, 39,241,944,010.20 and 26,161,296,006.80 is: 39,241,944,010.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,161,296,006.80 : 39,241,944,010.20 = 26,161,296,006.80 : x
  2. Step 2: Convert to fraction form
    26,161,296,006.80/39,241,944,010.20 = 26,161,296,006.80/x
  3. Step 3: Cross multiply
    26,161,296,006.80x = 39,241,944,010.20 × 26,161,296,006.80
  4. Step 4: Simplify right side
    26,161,296,006.80x = 1,026,620,113,133,114,359,808
  5. Step 5: Solve for x
    x = 1,026,620,113,133,114,359,808/26,161,296,006.80
  6. Step 6: Final answer
    x = 39,241,944,010.20

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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.