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Finding the Fourth Proportional to 275,847,768,698.70, 413,771,653,048.05 and 275,847,768,698.70

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Solution

The fourth proportional to 275,847,768,698.70, 413,771,653,048.05 and 275,847,768,698.70 is: 413,771,653,048.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,847,768,698.70 : 413,771,653,048.05 = 275,847,768,698.70 : x
  2. Step 2: Convert to fraction form
    275,847,768,698.70/413,771,653,048.05 = 275,847,768,698.70/x
  3. Step 3: Cross multiply
    275,847,768,698.70x = 413,771,653,048.05 × 275,847,768,698.70
  4. Step 4: Simplify right side
    275,847,768,698.70x = 114,137,987,244,077,252,345,856
  5. Step 5: Solve for x
    x = 114,137,987,244,077,252,345,856/275,847,768,698.70
  6. Step 6: Final answer
    x = 413,771,653,048.05

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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.