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Finding the Fourth Proportional to 124,292,394,002.09, 186,438,591,003.13 and 124,292,394,002.09

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Solution

The fourth proportional to 124,292,394,002.09, 186,438,591,003.13 and 124,292,394,002.09 is: 186,438,591,003.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,292,394,002.09 : 186,438,591,003.13 = 124,292,394,002.09 : x
  2. Step 2: Convert to fraction form
    124,292,394,002.09/186,438,591,003.13 = 124,292,394,002.09/x
  3. Step 3: Cross multiply
    124,292,394,002.09x = 186,438,591,003.13 × 124,292,394,002.09
  4. Step 4: Simplify right side
    124,292,394,002.09x = 23,172,898,810,155,547,754,496
  5. Step 5: Solve for x
    x = 23,172,898,810,155,547,754,496/124,292,394,002.09
  6. Step 6: Final answer
    x = 186,438,591,003.13

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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.