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Finding the Fourth Proportional to 275,594,110,205.10, 413,391,165,307.65 and 275,594,110,205.10

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Solution

The fourth proportional to 275,594,110,205.10, 413,391,165,307.65 and 275,594,110,205.10 is: 413,391,165,307.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,594,110,205.10 : 413,391,165,307.65 = 275,594,110,205.10 : x
  2. Step 2: Convert to fraction form
    275,594,110,205.10/413,391,165,307.65 = 275,594,110,205.10/x
  3. Step 3: Cross multiply
    275,594,110,205.10x = 413,391,165,307.65 × 275,594,110,205.10
  4. Step 4: Simplify right side
    275,594,110,205.10x = 113,928,170,369,611,196,268,544
  5. Step 5: Solve for x
    x = 113,928,170,369,611,196,268,544/275,594,110,205.10
  6. Step 6: Final answer
    x = 413,391,165,307.65

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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.