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Finding the Fourth Proportional to 835,413,892.40, 1,253,120,838.60 and 835,413,892.40

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Solution

The fourth proportional to 835,413,892.40, 1,253,120,838.60 and 835,413,892.40 is: 1,253,120,838.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,413,892.40 : 1,253,120,838.60 = 835,413,892.40 : x
  2. Step 2: Convert to fraction form
    835,413,892.40/1,253,120,838.60 = 835,413,892.40/x
  3. Step 3: Cross multiply
    835,413,892.40x = 1,253,120,838.60 × 835,413,892.40
  4. Step 4: Simplify right side
    835,413,892.40x = 1,046,874,557,422,378,112
  5. Step 5: Solve for x
    x = 1,046,874,557,422,378,112/835,413,892.40
  6. Step 6: Final answer
    x = 1,253,120,838.60

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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.