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Finding the Fourth Proportional to 314,932,045.20, 472,398,067.80 and 314,932,045.20

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Solution

The fourth proportional to 314,932,045.20, 472,398,067.80 and 314,932,045.20 is: 472,398,067.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,932,045.20 : 472,398,067.80 = 314,932,045.20 : x
  2. Step 2: Convert to fraction form
    314,932,045.20/472,398,067.80 = 314,932,045.20/x
  3. Step 3: Cross multiply
    314,932,045.20x = 472,398,067.80 × 314,932,045.20
  4. Step 4: Simplify right side
    314,932,045.20x = 148,773,289,640,782,272
  5. Step 5: Solve for x
    x = 148,773,289,640,782,272/314,932,045.20
  6. Step 6: Final answer
    x = 472,398,067.80

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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.