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Finding the Fourth Proportional to 5,200,954,272,000.30, 7,801,431,408,000.40 and 5,200,954,272,000.30

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Solution

The fourth proportional to 5,200,954,272,000.30, 7,801,431,408,000.40 and 5,200,954,272,000.30 is: 7,801,431,408,000.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200,954,272,000.30 : 7,801,431,408,000.40 = 5,200,954,272,000.30 : x
  2. Step 2: Convert to fraction form
    5,200,954,272,000.30/7,801,431,408,000.40 = 5,200,954,272,000.30/x
  3. Step 3: Cross multiply
    5,200,954,272,000.30x = 7,801,431,408,000.40 × 5,200,954,272,000.30
  4. Step 4: Simplify right side
    5,200,954,272,000.30x = 40,574,888,009,156,995,003,187,200
  5. Step 5: Solve for x
    x = 40,574,888,009,156,995,003,187,200/5,200,954,272,000.30
  6. Step 6: Final answer
    x = 7,801,431,408,000.40

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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.