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Finding the Fourth Proportional to 25,672,896,343.20, 38,448,122,511.60 and 25,672,896,343.20

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Solution

The fourth proportional to 25,672,896,343.20, 38,448,122,511.60 and 25,672,896,343.20 is: 38,448,122,511.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,672,896,343.20 : 38,448,122,511.60 = 25,672,896,343.20 : x
  2. Step 2: Convert to fraction form
    25,672,896,343.20/38,448,122,511.60 = 25,672,896,343.20/x
  3. Step 3: Cross multiply
    25,672,896,343.20x = 38,448,122,511.60 × 25,672,896,343.20
  4. Step 4: Simplify right side
    25,672,896,343.20x = 987,074,663,830,961,258,496
  5. Step 5: Solve for x
    x = 987,074,663,830,961,258,496/25,672,896,343.20
  6. Step 6: Final answer
    x = 38,448,122,511.60

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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.