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Finding the Fourth Proportional to 5,667,739,777,827.50, 8,501,609,666,741.50 and 5,667,739,777,827.50

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Solution

The fourth proportional to 5,667,739,777,827.50, 8,501,609,666,741.50 and 5,667,739,777,827.50 is: 8,501,609,666,741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667,739,777,827.50 : 8,501,609,666,741.50 = 5,667,739,777,827.50 : x
  2. Step 2: Convert to fraction form
    5,667,739,777,827.50/8,501,609,666,741.50 = 5,667,739,777,827.50/x
  3. Step 3: Cross multiply
    5,667,739,777,827.50x = 8,501,609,666,741.50 × 5,667,739,777,827.50
  4. Step 4: Simplify right side
    5,667,739,777,827.50x = 48,184,911,283,753,599,134,334,976
  5. Step 5: Solve for x
    x = 48,184,911,283,753,599,134,334,976/5,667,739,777,827.50
  6. Step 6: Final answer
    x = 8,501,609,666,741.50

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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.