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Finding the Fourth Proportional to 253,474,272,021.90, 380,211,408,032.85 and 253,474,272,021.90

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Solution

The fourth proportional to 253,474,272,021.90, 380,211,408,032.85 and 253,474,272,021.90 is: 380,211,408,032.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,474,272,021.90 : 380,211,408,032.85 = 253,474,272,021.90 : x
  2. Step 2: Convert to fraction form
    253,474,272,021.90/380,211,408,032.85 = 253,474,272,021.90/x
  3. Step 3: Cross multiply
    253,474,272,021.90x = 380,211,408,032.85 × 253,474,272,021.90
  4. Step 4: Simplify right side
    253,474,272,021.90x = 96,373,809,865,548,233,703,424
  5. Step 5: Solve for x
    x = 96,373,809,865,548,233,703,424/253,474,272,021.90
  6. Step 6: Final answer
    x = 380,211,408,032.85

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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.