Home / 413,753,413,401.23-620,630,120,101.77-413,753,413,401.23

Finding the Fourth Proportional to 413,753,413,401.23, 620,630,120,101.77 and 413,753,413,401.23

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Solution

The fourth proportional to 413,753,413,401.23, 620,630,120,101.77 and 413,753,413,401.23 is: 620,630,120,101.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,753,413,401.23 : 620,630,120,101.77 = 413,753,413,401.23 : x
  2. Step 2: Convert to fraction form
    413,753,413,401.23/620,630,120,101.77 = 413,753,413,401.23/x
  3. Step 3: Cross multiply
    413,753,413,401.23x = 620,630,120,101.77 × 413,753,413,401.23
  4. Step 4: Simplify right side
    413,753,413,401.23x = 256,787,830,651,722,666,082,304
  5. Step 5: Solve for x
    x = 256,787,830,651,722,666,082,304/413,753,413,401.23
  6. Step 6: Final answer
    x = 620,630,120,101.77

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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.