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Finding the Fourth Proportional to 5,740,507,371.60, 8,058,478,143.60 and 5,740,507,371.60

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Solution

The fourth proportional to 5,740,507,371.60, 8,058,478,143.60 and 5,740,507,371.60 is: 8,058,478,143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740,507,371.60 : 8,058,478,143.60 = 5,740,507,371.60 : x
  2. Step 2: Convert to fraction form
    5,740,507,371.60/8,058,478,143.60 = 5,740,507,371.60/x
  3. Step 3: Cross multiply
    5,740,507,371.60x = 8,058,478,143.60 × 5,740,507,371.60
  4. Step 4: Simplify right side
    5,740,507,371.60x = 46,259,753,187,213,287,424
  5. Step 5: Solve for x
    x = 46,259,753,187,213,287,424/5,740,507,371.60
  6. Step 6: Final answer
    x = 8,058,478,143.60

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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.