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Finding the Fourth Proportional to 7,612,782,019,200.80, 11,419,173,028,801 and 7,612,782,019,200.80

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Solution

The fourth proportional to 7,612,782,019,200.80, 11,419,173,028,801 and 7,612,782,019,200.80 is: 11,419,173,028,801

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612,782,019,200.80 : 11,419,173,028,801 = 7,612,782,019,200.80 : x
  2. Step 2: Convert to fraction form
    7,612,782,019,200.80/11,419,173,028,801 = 7,612,782,019,200.80/x
  3. Step 3: Cross multiply
    7,612,782,019,200.80x = 11,419,173,028,801 × 7,612,782,019,200.80
  4. Step 4: Simplify right side
    7,612,782,019,200.80x = 86,931,675,107,798,993,009,115,136
  5. Step 5: Solve for x
    x = 86,931,675,107,798,993,009,115,136/7,612,782,019,200.80
  6. Step 6: Final answer
    x = 11,419,173,028,801

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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.