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Finding the Fourth Proportional to 73,903,104,006.20, 110,854,656,009.30 and 73,903,104,006.20

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Solution

The fourth proportional to 73,903,104,006.20, 110,854,656,009.30 and 73,903,104,006.20 is: 110,854,656,009.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,903,104,006.20 : 110,854,656,009.30 = 73,903,104,006.20 : x
  2. Step 2: Convert to fraction form
    73,903,104,006.20/110,854,656,009.30 = 73,903,104,006.20/x
  3. Step 3: Cross multiply
    73,903,104,006.20x = 110,854,656,009.30 × 73,903,104,006.20
  4. Step 4: Simplify right side
    73,903,104,006.20x = 8,192,503,172,626,821,152,768
  5. Step 5: Solve for x
    x = 8,192,503,172,626,821,152,768/73,903,104,006.20
  6. Step 6: Final answer
    x = 110,854,656,009.30

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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.