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Finding the Fourth Proportional to 4,137,264,137.30, 6,205,896,205.95 and 4,137,264,137.30

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Solution

The fourth proportional to 4,137,264,137.30, 6,205,896,205.95 and 4,137,264,137.30 is: 6,205,896,205.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137,264,137.30 : 6,205,896,205.95 = 4,137,264,137.30 : x
  2. Step 2: Convert to fraction form
    4,137,264,137.30/6,205,896,205.95 = 4,137,264,137.30/x
  3. Step 3: Cross multiply
    4,137,264,137.30x = 6,205,896,205.95 × 4,137,264,137.30
  4. Step 4: Simplify right side
    4,137,264,137.30x = 25,675,431,812,683,071,488
  5. Step 5: Solve for x
    x = 25,675,431,812,683,071,488/4,137,264,137.30
  6. Step 6: Final answer
    x = 6,205,896,205.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.