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Finding the Fourth Proportional to 275,847,768,698.20, 413,771,653,047.30 and 275,847,768,698.20

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Solution

The fourth proportional to 275,847,768,698.20, 413,771,653,047.30 and 275,847,768,698.20 is: 413,771,653,047.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,847,768,698.20 : 413,771,653,047.30 = 275,847,768,698.20 : x
  2. Step 2: Convert to fraction form
    275,847,768,698.20/413,771,653,047.30 = 275,847,768,698.20/x
  3. Step 3: Cross multiply
    275,847,768,698.20x = 413,771,653,047.30 × 275,847,768,698.20
  4. Step 4: Simplify right side
    275,847,768,698.20x = 114,137,987,243,663,475,867,648
  5. Step 5: Solve for x
    x = 114,137,987,243,663,475,867,648/275,847,768,698.20
  6. Step 6: Final answer
    x = 413,771,653,047.30

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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.