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Finding the Fourth Proportional to 216,880,771,264.20, 325,321,156,896.30 and 216,880,771,264.20

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Solution

The fourth proportional to 216,880,771,264.20, 325,321,156,896.30 and 216,880,771,264.20 is: 325,321,156,896.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,880,771,264.20 : 325,321,156,896.30 = 216,880,771,264.20 : x
  2. Step 2: Convert to fraction form
    216,880,771,264.20/325,321,156,896.30 = 216,880,771,264.20/x
  3. Step 3: Cross multiply
    216,880,771,264.20x = 325,321,156,896.30 × 216,880,771,264.20
  4. Step 4: Simplify right side
    216,880,771,264.20x = 70,555,903,416,231,358,627,840
  5. Step 5: Solve for x
    x = 70,555,903,416,231,358,627,840/216,880,771,264.20
  6. Step 6: Final answer
    x = 325,321,156,896.30

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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.