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Finding the Fourth Proportional to 202,999,834.54, 280,139,978.98 and 110,180,361.52

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Solution

The fourth proportional to 202,999,834.54, 280,139,978.98 and 110,180,361.52 is: 152,049,011.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,999,834.54 : 280,139,978.98 = 110,180,361.52 : x
  2. Step 2: Convert to fraction form
    202,999,834.54/280,139,978.98 = 110,180,361.52/x
  3. Step 3: Cross multiply
    202,999,834.54x = 280,139,978.98 × 110,180,361.52
  4. Step 4: Simplify right side
    202,999,834.54x = 30,865,924,160,221,600
  5. Step 5: Solve for x
    x = 30,865,924,160,221,600/202,999,834.54
  6. Step 6: Final answer
    x = 152,049,011.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.