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Finding the Fourth Proportional to 354,643,866.56, 489,403,900.44 and 198,013,639.52

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Solution

The fourth proportional to 354,643,866.56, 489,403,900.44 and 198,013,639.52 is: 273,256,234.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,643,866.56 : 489,403,900.44 = 198,013,639.52 : x
  2. Step 2: Convert to fraction form
    354,643,866.56/489,403,900.44 = 198,013,639.52/x
  3. Step 3: Cross multiply
    354,643,866.56x = 489,403,900.44 × 198,013,639.52
  4. Step 4: Simplify right side
    354,643,866.56x = 96,908,647,521,408,128
  5. Step 5: Solve for x
    x = 96,908,647,521,408,128/354,643,866.56
  6. Step 6: Final answer
    x = 273,256,234.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.