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Finding the Fourth Proportional to 27,938,990,960.80, 41,908,486,441.20 and 27,938,990,960.80

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Solution

The fourth proportional to 27,938,990,960.80, 41,908,486,441.20 and 27,938,990,960.80 is: 41,908,486,441.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,938,990,960.80 : 41,908,486,441.20 = 27,938,990,960.80 : x
  2. Step 2: Convert to fraction form
    27,938,990,960.80/41,908,486,441.20 = 27,938,990,960.80/x
  3. Step 3: Cross multiply
    27,938,990,960.80x = 41,908,486,441.20 × 27,938,990,960.80
  4. Step 4: Simplify right side
    27,938,990,960.80x = 1,170,880,823,861,495,988,224
  5. Step 5: Solve for x
    x = 1,170,880,823,861,495,988,224/27,938,990,960.80
  6. Step 6: Final answer
    x = 41,908,486,441.20

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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.