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Finding the Fourth Proportional to 4,775,753,664,012.20, 7,163,630,496,018.40 and 4,775,753,664,012.20

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Solution

The fourth proportional to 4,775,753,664,012.20, 7,163,630,496,018.40 and 4,775,753,664,012.20 is: 7,163,630,496,018.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775,753,664,012.20 : 7,163,630,496,018.40 = 4,775,753,664,012.20 : x
  2. Step 2: Convert to fraction form
    4,775,753,664,012.20/7,163,630,496,018.40 = 4,775,753,664,012.20/x
  3. Step 3: Cross multiply
    4,775,753,664,012.20x = 7,163,630,496,018.40 × 4,775,753,664,012.20
  4. Step 4: Simplify right side
    4,775,753,664,012.20x = 34,211,734,588,989,408,924,401,664
  5. Step 5: Solve for x
    x = 34,211,734,588,989,408,924,401,664/4,775,753,664,012.20
  6. Step 6: Final answer
    x = 7,163,630,496,018.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.