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Finding the Fourth Proportional to 103,438,353,406.42, 155,157,530,109.63 and 103,438,353,406.42

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Solution

The fourth proportional to 103,438,353,406.42, 155,157,530,109.63 and 103,438,353,406.42 is: 155,157,530,109.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,438,353,406.42 : 155,157,530,109.63 = 103,438,353,406.42 : x
  2. Step 2: Convert to fraction form
    103,438,353,406.42/155,157,530,109.63 = 103,438,353,406.42/x
  3. Step 3: Cross multiply
    103,438,353,406.42x = 155,157,530,109.63 × 103,438,353,406.42
  4. Step 4: Simplify right side
    103,438,353,406.42x = 16,049,239,433,147,160,985,600
  5. Step 5: Solve for x
    x = 16,049,239,433,147,160,985,600/103,438,353,406.42
  6. Step 6: Final answer
    x = 155,157,530,109.63

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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.