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Finding the Fourth Proportional to 275,594,103,400.07, 413,391,155,100.10 and 275,594,103,400.07

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Solution

The fourth proportional to 275,594,103,400.07, 413,391,155,100.10 and 275,594,103,400.07 is: 413,391,155,100.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,594,103,400.07 : 413,391,155,100.10 = 275,594,103,400.07 : x
  2. Step 2: Convert to fraction form
    275,594,103,400.07/413,391,155,100.10 = 275,594,103,400.07/x
  3. Step 3: Cross multiply
    275,594,103,400.07x = 413,391,155,100.10 × 275,594,103,400.07
  4. Step 4: Simplify right side
    275,594,103,400.07x = 113,928,164,743,331,327,246,336
  5. Step 5: Solve for x
    x = 113,928,164,743,331,327,246,336/275,594,103,400.07
  6. Step 6: Final answer
    x = 413,391,155,100.10

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1.5x scale

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.