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Finding the Fourth Proportional to 312,876,308.40, 438,933,824.40 and 312,876,308.40

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Solution

The fourth proportional to 312,876,308.40, 438,933,824.40 and 312,876,308.40 is: 438,933,824.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,876,308.40 : 438,933,824.40 = 312,876,308.40 : x
  2. Step 2: Convert to fraction form
    312,876,308.40/438,933,824.40 = 312,876,308.40/x
  3. Step 3: Cross multiply
    312,876,308.40x = 438,933,824.40 × 312,876,308.40
  4. Step 4: Simplify right side
    312,876,308.40x = 137,331,994,610,165,824
  5. Step 5: Solve for x
    x = 137,331,994,610,165,824/312,876,308.40
  6. Step 6: Final answer
    x = 438,933,824.40

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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.