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Finding the Fourth Proportional to 802,278,020.10, 1,201,503,842.55 and 802,278,020.10

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Solution

The fourth proportional to 802,278,020.10, 1,201,503,842.55 and 802,278,020.10 is: 1,201,503,842.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,278,020.10 : 1,201,503,842.55 = 802,278,020.10 : x
  2. Step 2: Convert to fraction form
    802,278,020.10/1,201,503,842.55 = 802,278,020.10/x
  3. Step 3: Cross multiply
    802,278,020.10x = 1,201,503,842.55 × 802,278,020.10
  4. Step 4: Simplify right side
    802,278,020.10x = 963,940,123,943,556,096
  5. Step 5: Solve for x
    x = 963,940,123,943,556,096/802,278,020.10
  6. Step 6: Final answer
    x = 1,201,503,842.55

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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.