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Finding the Fourth Proportional to 389,546,328,082.60, 583,389,682,950.30 and 389,546,328,082.60

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Solution

The fourth proportional to 389,546,328,082.60, 583,389,682,950.30 and 389,546,328,082.60 is: 583,389,682,950.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,546,328,082.60 : 583,389,682,950.30 = 389,546,328,082.60 : x
  2. Step 2: Convert to fraction form
    389,546,328,082.60/583,389,682,950.30 = 389,546,328,082.60/x
  3. Step 3: Cross multiply
    389,546,328,082.60x = 583,389,682,950.30 × 389,546,328,082.60
  4. Step 4: Simplify right side
    389,546,328,082.60x = 227,257,308,834,561,569,849,344
  5. Step 5: Solve for x
    x = 227,257,308,834,561,569,849,344/389,546,328,082.60
  6. Step 6: Final answer
    x = 583,389,682,950.30

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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.