Home / 208,692,288,201.20-313,038,432,301.80-194,641,838,466.80

Finding the Fourth Proportional to 208,692,288,201.20, 313,038,432,301.80 and 194,641,838,466.80

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Solution

The fourth proportional to 208,692,288,201.20, 313,038,432,301.80 and 194,641,838,466.80 is: 291,962,757,700.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,692,288,201.20 : 313,038,432,301.80 = 194,641,838,466.80 : x
  2. Step 2: Convert to fraction form
    208,692,288,201.20/313,038,432,301.80 = 194,641,838,466.80/x
  3. Step 3: Cross multiply
    208,692,288,201.20x = 313,038,432,301.80 × 194,641,838,466.80
  4. Step 4: Simplify right side
    208,692,288,201.20x = 60,930,375,973,987,256,631,296
  5. Step 5: Solve for x
    x = 60,930,375,973,987,256,631,296/208,692,288,201.20
  6. Step 6: Final answer
    x = 291,962,757,700.20

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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.