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Finding the Fourth Proportional to 25,425,117,008.30, 38,137,675,512.45 and 25,425,117,008.30

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Solution

The fourth proportional to 25,425,117,008.30, 38,137,675,512.45 and 25,425,117,008.30 is: 38,137,675,512.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,425,117,008.30 : 38,137,675,512.45 = 25,425,117,008.30 : x
  2. Step 2: Convert to fraction form
    25,425,117,008.30/38,137,675,512.45 = 25,425,117,008.30/x
  3. Step 3: Cross multiply
    25,425,117,008.30x = 38,137,675,512.45 × 25,425,117,008.30
  4. Step 4: Simplify right side
    25,425,117,008.30x = 969,654,862,328,618,811,392
  5. Step 5: Solve for x
    x = 969,654,862,328,618,811,392/25,425,117,008.30
  6. Step 6: Final answer
    x = 38,137,675,512.45

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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.