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Finding the Fourth Proportional to 5,667,739,776,043.20, 8,501,609,664,063.20 and 5,667,739,776,043.20

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Solution

The fourth proportional to 5,667,739,776,043.20, 8,501,609,664,063.20 and 5,667,739,776,043.20 is: 8,501,609,664,063.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667,739,776,043.20 : 8,501,609,664,063.20 = 5,667,739,776,043.20 : x
  2. Step 2: Convert to fraction form
    5,667,739,776,043.20/8,501,609,664,063.20 = 5,667,739,776,043.20/x
  3. Step 3: Cross multiply
    5,667,739,776,043.20x = 8,501,609,664,063.20 × 5,667,739,776,043.20
  4. Step 4: Simplify right side
    5,667,739,776,043.20x = 48,184,911,253,404,269,299,105,792
  5. Step 5: Solve for x
    x = 48,184,911,253,404,269,299,105,792/5,667,739,776,043.20
  6. Step 6: Final answer
    x = 8,501,609,664,063.20

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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.