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Finding the Fourth Proportional to 5,348,513,428.80, 8,022,770,143.20 and 5,348,513,428.80

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Solution

The fourth proportional to 5,348,513,428.80, 8,022,770,143.20 and 5,348,513,428.80 is: 8,022,770,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348,513,428.80 : 8,022,770,143.20 = 5,348,513,428.80 : x
  2. Step 2: Convert to fraction form
    5,348,513,428.80/8,022,770,143.20 = 5,348,513,428.80/x
  3. Step 3: Cross multiply
    5,348,513,428.80x = 8,022,770,143.20 × 5,348,513,428.80
  4. Step 4: Simplify right side
    5,348,513,428.80x = 42,909,893,847,080,902,656
  5. Step 5: Solve for x
    x = 42,909,893,847,080,902,656/5,348,513,428.80
  6. Step 6: Final answer
    x = 8,022,770,143.20

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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.