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Finding the Fourth Proportional to 216,874,386,428.20, 325,311,579,642.30 and 216,874,386,428.20

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Solution

The fourth proportional to 216,874,386,428.20, 325,311,579,642.30 and 216,874,386,428.20 is: 325,311,579,642.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,874,386,428.20 : 325,311,579,642.30 = 216,874,386,428.20 : x
  2. Step 2: Convert to fraction form
    216,874,386,428.20/325,311,579,642.30 = 216,874,386,428.20/x
  3. Step 3: Cross multiply
    216,874,386,428.20x = 325,311,579,642.30 × 216,874,386,428.20
  4. Step 4: Simplify right side
    216,874,386,428.20x = 70,551,749,232,912,330,915,840
  5. Step 5: Solve for x
    x = 70,551,749,232,912,330,915,840/216,874,386,428.20
  6. Step 6: Final answer
    x = 325,311,579,642.30

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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.