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Finding the Fourth Proportional to 25,504,828,993,546, 38,257,243,490,320 and 25,504,828,993,546

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Solution

The fourth proportional to 25,504,828,993,546, 38,257,243,490,320 and 25,504,828,993,546 is: 38,257,243,490,320

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,504,828,993,546 : 38,257,243,490,320 = 25,504,828,993,546 : x
  2. Step 2: Convert to fraction form
    25,504,828,993,546/38,257,243,490,320 = 25,504,828,993,546/x
  3. Step 3: Cross multiply
    25,504,828,993,546x = 38,257,243,490,320 × 25,504,828,993,546
  4. Step 4: Simplify right side
    25,504,828,993,546x = 975,744,452,985,062,454,254,895,104
  5. Step 5: Solve for x
    x = 975,744,452,985,062,454,254,895,104/25,504,828,993,546
  6. Step 6: Final answer
    x = 38,257,243,490,320

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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.