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Finding the Fourth Proportional to 55,777,857,076.35, 83,666,785,614.54 and 55,777,857,076.35

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Solution

The fourth proportional to 55,777,857,076.35, 83,666,785,614.54 and 55,777,857,076.35 is: 83,666,785,614.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,777,857,076.35 : 83,666,785,614.54 = 55,777,857,076.35 : x
  2. Step 2: Convert to fraction form
    55,777,857,076.35/83,666,785,614.54 = 55,777,857,076.35/x
  3. Step 3: Cross multiply
    55,777,857,076.35x = 83,666,785,614.54 × 55,777,857,076.35
  4. Step 4: Simplify right side
    55,777,857,076.35x = 4,666,754,010,045,428,006,912
  5. Step 5: Solve for x
    x = 4,666,754,010,045,428,006,912/55,777,857,076.35
  6. Step 6: Final answer
    x = 83,666,785,614.54

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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.