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Finding the Fourth Proportional to 413,753,413,459.05, 620,630,120,188.57 and 413,753,413,459.05

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Solution

The fourth proportional to 413,753,413,459.05, 620,630,120,188.57 and 413,753,413,459.05 is: 620,630,120,188.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,753,413,459.05 : 620,630,120,188.57 = 413,753,413,459.05 : x
  2. Step 2: Convert to fraction form
    413,753,413,459.05/620,630,120,188.57 = 413,753,413,459.05/x
  3. Step 3: Cross multiply
    413,753,413,459.05x = 620,630,120,188.57 × 413,753,413,459.05
  4. Step 4: Simplify right side
    413,753,413,459.05x = 256,787,830,723,521,265,270,784
  5. Step 5: Solve for x
    x = 256,787,830,723,521,265,270,784/413,753,413,459.05
  6. Step 6: Final answer
    x = 620,630,120,188.57

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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.