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Finding the Fourth Proportional to 517,214,440.80, 725,914,202.40 and 517,214,440.80

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Solution

The fourth proportional to 517,214,440.80, 725,914,202.40 and 517,214,440.80 is: 725,914,202.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,214,440.80 : 725,914,202.40 = 517,214,440.80 : x
  2. Step 2: Convert to fraction form
    517,214,440.80/725,914,202.40 = 517,214,440.80/x
  3. Step 3: Cross multiply
    517,214,440.80x = 725,914,202.40 × 517,214,440.80
  4. Step 4: Simplify right side
    517,214,440.80x = 375,453,308,263,094,016
  5. Step 5: Solve for x
    x = 375,453,308,263,094,016/517,214,440.80
  6. Step 6: Final answer
    x = 725,914,202.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.