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Finding the Fourth Proportional to 135,219,308.80, 202,828,963.20 and 135,219,308.80

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Solution

The fourth proportional to 135,219,308.80, 202,828,963.20 and 135,219,308.80 is: 202,828,963.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,219,308.80 : 202,828,963.20 = 135,219,308.80 : x
  2. Step 2: Convert to fraction form
    135,219,308.80/202,828,963.20 = 135,219,308.80/x
  3. Step 3: Cross multiply
    135,219,308.80x = 202,828,963.20 × 135,219,308.80
  4. Step 4: Simplify right side
    135,219,308.80x = 27,426,392,208,524,636
  5. Step 5: Solve for x
    x = 27,426,392,208,524,636/135,219,308.80
  6. Step 6: Final answer
    x = 202,828,963.20

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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.