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Finding the Fourth Proportional to 16,871,238,006.90, 25,306,857,010.37 and 16,871,238,006.90

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Solution

The fourth proportional to 16,871,238,006.90, 25,306,857,010.37 and 16,871,238,006.90 is: 25,306,857,010.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,871,238,006.90 : 25,306,857,010.37 = 16,871,238,006.90 : x
  2. Step 2: Convert to fraction form
    16,871,238,006.90/25,306,857,010.37 = 16,871,238,006.90/x
  3. Step 3: Cross multiply
    16,871,238,006.90x = 25,306,857,010.37 × 16,871,238,006.90
  4. Step 4: Simplify right side
    16,871,238,006.90x = 426,958,007,828,453,720,064
  5. Step 5: Solve for x
    x = 426,958,007,828,453,720,064/16,871,238,006.90
  6. Step 6: Final answer
    x = 25,306,857,010.37

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Why These Related Problems?

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