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Finding the Fourth Proportional to 540,349,940.42, 810,542,852.82 and 185,820,744.91

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Solution

The fourth proportional to 540,349,940.42, 810,542,852.82 and 185,820,744.91 is: 278,737,287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,349,940.42 : 810,542,852.82 = 185,820,744.91 : x
  2. Step 2: Convert to fraction form
    540,349,940.42/810,542,852.82 = 185,820,744.91/x
  3. Step 3: Cross multiply
    540,349,940.42x = 810,542,852.82 × 185,820,744.91
  4. Step 4: Simplify right side
    540,349,940.42x = 150,615,676,692,488,896
  5. Step 5: Solve for x
    x = 150,615,676,692,488,896/540,349,940.42
  6. Step 6: Final answer
    x = 278,737,287.50

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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.