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Finding the Fourth Proportional to 142,088,418.45, 213,132,627.68 and 142,088,418.45

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Solution

The fourth proportional to 142,088,418.45, 213,132,627.68 and 142,088,418.45 is: 213,132,627.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,088,418.45 : 213,132,627.68 = 142,088,418.45 : x
  2. Step 2: Convert to fraction form
    142,088,418.45/213,132,627.68 = 142,088,418.45/x
  3. Step 3: Cross multiply
    142,088,418.45x = 213,132,627.68 × 142,088,418.45
  4. Step 4: Simplify right side
    142,088,418.45x = 30,283,677,986,433,448
  5. Step 5: Solve for x
    x = 30,283,677,986,433,448/142,088,418.45
  6. Step 6: Final answer
    x = 213,132,627.68

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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.