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Finding the Fourth Proportional to 124,292,393,999.52, 186,438,590,999.29 and 124,292,393,999.52

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Solution

The fourth proportional to 124,292,393,999.52, 186,438,590,999.29 and 124,292,393,999.52 is: 186,438,590,999.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,292,393,999.52 : 186,438,590,999.29 = 124,292,393,999.52 : x
  2. Step 2: Convert to fraction form
    124,292,393,999.52/186,438,590,999.29 = 124,292,393,999.52/x
  3. Step 3: Cross multiply
    124,292,393,999.52x = 186,438,590,999.29 × 124,292,393,999.52
  4. Step 4: Simplify right side
    124,292,393,999.52x = 23,172,898,809,199,116,419,072
  5. Step 5: Solve for x
    x = 23,172,898,809,199,116,419,072/124,292,393,999.52
  6. Step 6: Final answer
    x = 186,438,590,999.29

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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.