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Finding the Fourth Proportional to 431,242,055,999.80, 646,863,083,999.70 and 431,242,055,999.80

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Solution

The fourth proportional to 431,242,055,999.80, 646,863,083,999.70 and 431,242,055,999.80 is: 646,863,083,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,242,055,999.80 : 646,863,083,999.70 = 431,242,055,999.80 : x
  2. Step 2: Convert to fraction form
    431,242,055,999.80/646,863,083,999.70 = 431,242,055,999.80/x
  3. Step 3: Cross multiply
    431,242,055,999.80x = 646,863,083,999.70 × 431,242,055,999.80
  4. Step 4: Simplify right side
    431,242,055,999.80x = 278,954,566,294,401,934,426,112
  5. Step 5: Solve for x
    x = 278,954,566,294,401,934,426,112/431,242,055,999.80
  6. Step 6: Final answer
    x = 646,863,083,999.70

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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.