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Finding the Fourth Proportional to 66,438,145,176.45, 92,839,260,660.15 and 66,438,145,176.45

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Solution

The fourth proportional to 66,438,145,176.45, 92,839,260,660.15 and 66,438,145,176.45 is: 92,839,260,660.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,438,145,176.45 : 92,839,260,660.15 = 66,438,145,176.45 : x
  2. Step 2: Convert to fraction form
    66,438,145,176.45/92,839,260,660.15 = 66,438,145,176.45/x
  3. Step 3: Cross multiply
    66,438,145,176.45x = 92,839,260,660.15 × 66,438,145,176.45
  4. Step 4: Simplify right side
    66,438,145,176.45x = 6,168,068,277,813,328,740,352
  5. Step 5: Solve for x
    x = 6,168,068,277,813,328,740,352/66,438,145,176.45
  6. Step 6: Final answer
    x = 92,839,260,660.15

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.