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Finding the Fourth Proportional to 1,770,396,802.10, 2,482,183,493.50 and 1,770,396,802.10

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Solution

The fourth proportional to 1,770,396,802.10, 2,482,183,493.50 and 1,770,396,802.10 is: 2,482,183,493.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770,396,802.10 : 2,482,183,493.50 = 1,770,396,802.10 : x
  2. Step 2: Convert to fraction form
    1,770,396,802.10/2,482,183,493.50 = 1,770,396,802.10/x
  3. Step 3: Cross multiply
    1,770,396,802.10x = 2,482,183,493.50 × 1,770,396,802.10
  4. Step 4: Simplify right side
    1,770,396,802.10x = 4,394,449,719,117,806,080
  5. Step 5: Solve for x
    x = 4,394,449,719,117,806,080/1,770,396,802.10
  6. Step 6: Final answer
    x = 2,482,183,493.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.