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Finding the Fourth Proportional to 225,625,729.60, 337,907,752.80 and 225,625,729.60

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Solution

The fourth proportional to 225,625,729.60, 337,907,752.80 and 225,625,729.60 is: 337,907,752.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,625,729.60 : 337,907,752.80 = 225,625,729.60 : x
  2. Step 2: Convert to fraction form
    225,625,729.60/337,907,752.80 = 225,625,729.60/x
  3. Step 3: Cross multiply
    225,625,729.60x = 337,907,752.80 × 225,625,729.60
  4. Step 4: Simplify right side
    225,625,729.60x = 76,240,683,262,996,448
  5. Step 5: Solve for x
    x = 76,240,683,262,996,448/225,625,729.60
  6. Step 6: Final answer
    x = 337,907,752.80

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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.