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Finding the Fourth Proportional to 802,278,034.10, 1,201,503,863.52 and 802,278,034.10

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Solution

The fourth proportional to 802,278,034.10, 1,201,503,863.52 and 802,278,034.10 is: 1,201,503,863.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,278,034.10 : 1,201,503,863.52 = 802,278,034.10 : x
  2. Step 2: Convert to fraction form
    802,278,034.10/1,201,503,863.52 = 802,278,034.10/x
  3. Step 3: Cross multiply
    802,278,034.10x = 1,201,503,863.52 × 802,278,034.10
  4. Step 4: Simplify right side
    802,278,034.10x = 963,940,157,588,380,288
  5. Step 5: Solve for x
    x = 963,940,157,588,380,288/802,278,034.10
  6. Step 6: Final answer
    x = 1,201,503,863.52

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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.