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Finding the Fourth Proportional to 12,020,253,369,816, 18,030,380,054,722 and 12,020,253,369,816

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Solution

The fourth proportional to 12,020,253,369,816, 18,030,380,054,722 and 12,020,253,369,816 is: 18,030,380,054,722

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,020,253,369,816 : 18,030,380,054,722 = 12,020,253,369,816 : x
  2. Step 2: Convert to fraction form
    12,020,253,369,816/18,030,380,054,722 = 12,020,253,369,816/x
  3. Step 3: Cross multiply
    12,020,253,369,816x = 18,030,380,054,722 × 12,020,253,369,816
  4. Step 4: Simplify right side
    12,020,253,369,816x = 216,729,736,611,835,305,323,921,408
  5. Step 5: Solve for x
    x = 216,729,736,611,835,305,323,921,408/12,020,253,369,816
  6. Step 6: Final answer
    x = 18,030,380,054,722

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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.