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Finding the Fourth Proportional to 202,999,834.23, 280,139,978.57 and 110,180,361.21

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Solution

The fourth proportional to 202,999,834.23, 280,139,978.57 and 110,180,361.21 is: 152,049,011.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,999,834.23 : 280,139,978.57 = 110,180,361.21 : x
  2. Step 2: Convert to fraction form
    202,999,834.23/280,139,978.57 = 110,180,361.21/x
  3. Step 3: Cross multiply
    202,999,834.23x = 280,139,978.57 × 110,180,361.21
  4. Step 4: Simplify right side
    202,999,834.23x = 30,865,924,027,653,356
  5. Step 5: Solve for x
    x = 30,865,924,027,653,356/202,999,834.23
  6. Step 6: Final answer
    x = 152,049,011.00

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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.