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Finding the Fourth Proportional to 7,920,596,668,515, 11,880,895,002,772 and 7,920,596,668,515

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Solution

The fourth proportional to 7,920,596,668,515, 11,880,895,002,772 and 7,920,596,668,515 is: 11,880,895,002,772

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920,596,668,515 : 11,880,895,002,772 = 7,920,596,668,515 : x
  2. Step 2: Convert to fraction form
    7,920,596,668,515/11,880,895,002,772 = 7,920,596,668,515/x
  3. Step 3: Cross multiply
    7,920,596,668,515x = 11,880,895,002,772 × 7,920,596,668,515
  4. Step 4: Simplify right side
    7,920,596,668,515x = 94,103,777,377,932,414,193,500,160
  5. Step 5: Solve for x
    x = 94,103,777,377,932,414,193,500,160/7,920,596,668,515
  6. Step 6: Final answer
    x = 11,880,895,002,772

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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.