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Finding the Fourth Proportional to 2,675,274,069,824.50, 4,012,911,104,736.90 and 2,675,274,069,824.50

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Solution

The fourth proportional to 2,675,274,069,824.50, 4,012,911,104,736.90 and 2,675,274,069,824.50 is: 4,012,911,104,736.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675,274,069,824.50 : 4,012,911,104,736.90 = 2,675,274,069,824.50 : x
  2. Step 2: Convert to fraction form
    2,675,274,069,824.50/4,012,911,104,736.90 = 2,675,274,069,824.50/x
  3. Step 3: Cross multiply
    2,675,274,069,824.50x = 4,012,911,104,736.90 × 2,675,274,069,824.50
  4. Step 4: Simplify right side
    2,675,274,069,824.50x = 10,735,637,023,013,416,252,473,344
  5. Step 5: Solve for x
    x = 10,735,637,023,013,416,252,473,344/2,675,274,069,824.50
  6. Step 6: Final answer
    x = 4,012,911,104,736.90

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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.