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Finding the Fourth Proportional to 8,503,261,409.70, 12,754,892,114.55 and 8,503,261,409.70

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Solution

The fourth proportional to 8,503,261,409.70, 12,754,892,114.55 and 8,503,261,409.70 is: 12,754,892,114.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,503,261,409.70 : 12,754,892,114.55 = 8,503,261,409.70 : x
  2. Step 2: Convert to fraction form
    8,503,261,409.70/12,754,892,114.55 = 8,503,261,409.70/x
  3. Step 3: Cross multiply
    8,503,261,409.70x = 12,754,892,114.55 × 8,503,261,409.70
  4. Step 4: Simplify right side
    8,503,261,409.70x = 108,458,181,902,539,833,344
  5. Step 5: Solve for x
    x = 108,458,181,902,539,833,344/8,503,261,409.70
  6. Step 6: Final answer
    x = 12,754,892,114.55

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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.