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Finding the Fourth Proportional to 25,504,828,992,952, 38,257,243,489,426 and 25,504,828,992,952

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Solution

The fourth proportional to 25,504,828,992,952, 38,257,243,489,426 and 25,504,828,992,952 is: 38,257,243,489,426

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,504,828,992,952 : 38,257,243,489,426 = 25,504,828,992,952 : x
  2. Step 2: Convert to fraction form
    25,504,828,992,952/38,257,243,489,426 = 25,504,828,992,952/x
  3. Step 3: Cross multiply
    25,504,828,992,952x = 38,257,243,489,426 × 25,504,828,992,952
  4. Step 4: Simplify right side
    25,504,828,992,952x = 975,744,452,939,536,350,673,108,992
  5. Step 5: Solve for x
    x = 975,744,452,939,536,350,673,108,992/25,504,828,992,952
  6. Step 6: Final answer
    x = 38,257,243,489,426

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.