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Finding the Fourth Proportional to 209,952,693.20, 314,929,039.80 and 185,293,830.80

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Solution

The fourth proportional to 209,952,693.20, 314,929,039.80 and 185,293,830.80 is: 277,940,746.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,693.20 : 314,929,039.80 = 185,293,830.80 : x
  2. Step 2: Convert to fraction form
    209,952,693.20/314,929,039.80 = 185,293,830.80/x
  3. Step 3: Cross multiply
    209,952,693.20x = 314,929,039.80 × 185,293,830.80
  4. Step 4: Simplify right side
    209,952,693.20x = 58,354,408,214,707,672
  5. Step 5: Solve for x
    x = 58,354,408,214,707,672/209,952,693.20
  6. Step 6: Final answer
    x = 277,940,746.20

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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.