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Finding the Fourth Proportional to 235,836,292,564.80, 353,754,438,847.20 and 235,836,292,564.80

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Solution

The fourth proportional to 235,836,292,564.80, 353,754,438,847.20 and 235,836,292,564.80 is: 353,754,438,847.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,836,292,564.80 : 353,754,438,847.20 = 235,836,292,564.80 : x
  2. Step 2: Convert to fraction form
    235,836,292,564.80/353,754,438,847.20 = 235,836,292,564.80/x
  3. Step 3: Cross multiply
    235,836,292,564.80x = 353,754,438,847.20 × 235,836,292,564.80
  4. Step 4: Simplify right side
    235,836,292,564.80x = 83,428,135,336,064,904,593,408
  5. Step 5: Solve for x
    x = 83,428,135,336,064,904,593,408/235,836,292,564.80
  6. Step 6: Final answer
    x = 353,754,438,847.20

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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.