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Finding the Fourth Proportional to 12,020,253,370,522, 18,030,380,055,782 and 12,020,253,370,522

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Solution

The fourth proportional to 12,020,253,370,522, 18,030,380,055,782 and 12,020,253,370,522 is: 18,030,380,055,782

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,020,253,370,522 : 18,030,380,055,782 = 12,020,253,370,522 : x
  2. Step 2: Convert to fraction form
    12,020,253,370,522/18,030,380,055,782 = 12,020,253,370,522/x
  3. Step 3: Cross multiply
    12,020,253,370,522x = 18,030,380,055,782 × 12,020,253,370,522
  4. Step 4: Simplify right side
    12,020,253,370,522x = 216,729,736,637,306,248,095,596,544
  5. Step 5: Solve for x
    x = 216,729,736,637,306,248,095,596,544/12,020,253,370,522
  6. Step 6: Final answer
    x = 18,030,380,055,782

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