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Finding the Fourth Proportional to 413,753,413,674.90, 620,630,120,512.35 and 413,753,413,674.90

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Solution

The fourth proportional to 413,753,413,674.90, 620,630,120,512.35 and 413,753,413,674.90 is: 620,630,120,512.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,753,413,674.90 : 620,630,120,512.35 = 413,753,413,674.90 : x
  2. Step 2: Convert to fraction form
    413,753,413,674.90/620,630,120,512.35 = 413,753,413,674.90/x
  3. Step 3: Cross multiply
    413,753,413,674.90x = 620,630,120,512.35 × 413,753,413,674.90
  4. Step 4: Simplify right side
    413,753,413,674.90x = 256,787,830,991,449,378,258,944
  5. Step 5: Solve for x
    x = 256,787,830,991,449,378,258,944/413,753,413,674.90
  6. Step 6: Final answer
    x = 620,630,120,512.35

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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.