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Finding the Fourth Proportional to 580,015,364,562.45, 870,023,046,843.67 and 580,015,364,562.45

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Solution

The fourth proportional to 580,015,364,562.45, 870,023,046,843.67 and 580,015,364,562.45 is: 870,023,046,843.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,015,364,562.45 : 870,023,046,843.67 = 580,015,364,562.45 : x
  2. Step 2: Convert to fraction form
    580,015,364,562.45/870,023,046,843.67 = 580,015,364,562.45/x
  3. Step 3: Cross multiply
    580,015,364,562.45x = 870,023,046,843.67 × 580,015,364,562.45
  4. Step 4: Simplify right side
    580,015,364,562.45x = 504,626,734,692,764,758,310,912
  5. Step 5: Solve for x
    x = 504,626,734,692,764,758,310,912/580,015,364,562.45
  6. Step 6: Final answer
    x = 870,023,046,843.67

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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.