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Finding the Fourth Proportional to 680,505,440.40, 1,020,758,160.60 and 680,505,440.40

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Solution

The fourth proportional to 680,505,440.40, 1,020,758,160.60 and 680,505,440.40 is: 1,020,758,160.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,505,440.40 : 1,020,758,160.60 = 680,505,440.40 : x
  2. Step 2: Convert to fraction form
    680,505,440.40/1,020,758,160.60 = 680,505,440.40/x
  3. Step 3: Cross multiply
    680,505,440.40x = 1,020,758,160.60 × 680,505,440.40
  4. Step 4: Simplify right side
    680,505,440.40x = 694,631,481,620,996,864
  5. Step 5: Solve for x
    x = 694,631,481,620,996,864/680,505,440.40
  6. Step 6: Final answer
    x = 1,020,758,160.60

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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.