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Finding the Fourth Proportional to 209,969,296.80, 314,911,954.80 and 100,794,256.80

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Solution

The fourth proportional to 209,969,296.80, 314,911,954.80 and 100,794,256.80 is: 151,171,228.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,969,296.80 : 314,911,954.80 = 100,794,256.80 : x
  2. Step 2: Convert to fraction form
    209,969,296.80/314,911,954.80 = 100,794,256.80/x
  3. Step 3: Cross multiply
    209,969,296.80x = 314,911,954.80 × 100,794,256.80
  4. Step 4: Simplify right side
    209,969,296.80x = 31,741,316,441,501,192
  5. Step 5: Solve for x
    x = 31,741,316,441,501,192/209,969,296.80
  6. Step 6: Final answer
    x = 151,171,228.01

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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.