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Finding the Fourth Proportional to 354,856,998.40, 532,285,497.60 and 354,856,998.40

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Solution

The fourth proportional to 354,856,998.40, 532,285,497.60 and 354,856,998.40 is: 532,285,497.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,856,998.40 : 532,285,497.60 = 354,856,998.40 : x
  2. Step 2: Convert to fraction form
    354,856,998.40/532,285,497.60 = 354,856,998.40/x
  3. Step 3: Cross multiply
    354,856,998.40x = 532,285,497.60 × 354,856,998.40
  4. Step 4: Simplify right side
    354,856,998.40x = 188,885,233,970,186,400
  5. Step 5: Solve for x
    x = 188,885,233,970,186,400/354,856,998.40
  6. Step 6: Final answer
    x = 532,285,497.60

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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.