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Finding the Fourth Proportional to 225,948,837.60, 338,923,256.40 and 225,948,837.60

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Solution

The fourth proportional to 225,948,837.60, 338,923,256.40 and 225,948,837.60 is: 338,923,256.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,948,837.60 : 338,923,256.40 = 225,948,837.60 : x
  2. Step 2: Convert to fraction form
    225,948,837.60/338,923,256.40 = 225,948,837.60/x
  3. Step 3: Cross multiply
    225,948,837.60x = 338,923,256.40 × 225,948,837.60
  4. Step 4: Simplify right side
    225,948,837.60x = 76,579,315,819,186,752
  5. Step 5: Solve for x
    x = 76,579,315,819,186,752/225,948,837.60
  6. Step 6: Final answer
    x = 338,923,256.40

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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.