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Finding the Fourth Proportional to 580,675,644,015.90, 871,013,466,023.85 and 580,675,644,015.90

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Solution

The fourth proportional to 580,675,644,015.90, 871,013,466,023.85 and 580,675,644,015.90 is: 871,013,466,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,675,644,015.90 : 871,013,466,023.85 = 580,675,644,015.90 : x
  2. Step 2: Convert to fraction form
    580,675,644,015.90/871,013,466,023.85 = 580,675,644,015.90/x
  3. Step 3: Cross multiply
    580,675,644,015.90x = 871,013,466,023.85 × 580,675,644,015.90
  4. Step 4: Simplify right side
    580,675,644,015.90x = 505,776,305,329,920,307,888,128
  5. Step 5: Solve for x
    x = 505,776,305,329,920,307,888,128/580,675,644,015.90
  6. Step 6: Final answer
    x = 871,013,466,023.85

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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.