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Finding the Fourth Proportional to 2,878,942,972.40, 4,311,957,450.45 and 2,878,942,972.40

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Solution

The fourth proportional to 2,878,942,972.40, 4,311,957,450.45 and 2,878,942,972.40 is: 4,311,957,450.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878,942,972.40 : 4,311,957,450.45 = 2,878,942,972.40 : x
  2. Step 2: Convert to fraction form
    2,878,942,972.40/4,311,957,450.45 = 2,878,942,972.40/x
  3. Step 3: Cross multiply
    2,878,942,972.40x = 4,311,957,450.45 × 2,878,942,972.40
  4. Step 4: Simplify right side
    2,878,942,972.40x = 12,413,879,599,260,848,128
  5. Step 5: Solve for x
    x = 12,413,879,599,260,848,128/2,878,942,972.40
  6. Step 6: Final answer
    x = 4,311,957,450.45

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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.