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Finding the Fourth Proportional to 2,906,378,657,999.50, 4,359,567,986,999.30 and 2,906,378,657,999.50

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Solution

The fourth proportional to 2,906,378,657,999.50, 4,359,567,986,999.30 and 2,906,378,657,999.50 is: 4,359,567,986,999.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906,378,657,999.50 : 4,359,567,986,999.30 = 2,906,378,657,999.50 : x
  2. Step 2: Convert to fraction form
    2,906,378,657,999.50/4,359,567,986,999.30 = 2,906,378,657,999.50/x
  3. Step 3: Cross multiply
    2,906,378,657,999.50x = 4,359,567,986,999.30 × 2,906,378,657,999.50
  4. Step 4: Simplify right side
    2,906,378,657,999.50x = 12,670,555,355,512,606,094,786,560
  5. Step 5: Solve for x
    x = 12,670,555,355,512,606,094,786,560/2,906,378,657,999.50
  6. Step 6: Final answer
    x = 4,359,567,986,999.30

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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.