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Finding the Fourth Proportional to 142,898,328,042.20, 214,347,492,063.30 and 142,898,328,042.20

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Solution

The fourth proportional to 142,898,328,042.20, 214,347,492,063.30 and 142,898,328,042.20 is: 214,347,492,063.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,898,328,042.20 : 214,347,492,063.30 = 142,898,328,042.20 : x
  2. Step 2: Convert to fraction form
    142,898,328,042.20/214,347,492,063.30 = 142,898,328,042.20/x
  3. Step 3: Cross multiply
    142,898,328,042.20x = 214,347,492,063.30 × 142,898,328,042.20
  4. Step 4: Simplify right side
    142,898,328,042.20x = 30,629,898,235,884,305,645,568
  5. Step 5: Solve for x
    x = 30,629,898,235,884,305,645,568/142,898,328,042.20
  6. Step 6: Final answer
    x = 214,347,492,063.30

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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.