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Finding the Fourth Proportional to 3,446,572,078,472.70, 5,169,858,117,709 and 3,446,572,078,472.70

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Solution

The fourth proportional to 3,446,572,078,472.70, 5,169,858,117,709 and 3,446,572,078,472.70 is: 5,169,858,117,709

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446,572,078,472.70 : 5,169,858,117,709 = 3,446,572,078,472.70 : x
  2. Step 2: Convert to fraction form
    3,446,572,078,472.70/5,169,858,117,709 = 3,446,572,078,472.70/x
  3. Step 3: Cross multiply
    3,446,572,078,472.70x = 5,169,858,117,709 × 3,446,572,078,472.70
  4. Step 4: Simplify right side
    3,446,572,078,472.70x = 17,818,288,638,161,269,521,645,568
  5. Step 5: Solve for x
    x = 17,818,288,638,161,269,521,645,568/3,446,572,078,472.70
  6. Step 6: Final answer
    x = 5,169,858,117,709

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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.