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Finding the Fourth Proportional to 4,775,753,664,008.40, 7,163,630,496,012.80 and 4,775,753,664,008.40

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Solution

The fourth proportional to 4,775,753,664,008.40, 7,163,630,496,012.80 and 4,775,753,664,008.40 is: 7,163,630,496,012.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775,753,664,008.40 : 7,163,630,496,012.80 = 4,775,753,664,008.40 : x
  2. Step 2: Convert to fraction form
    4,775,753,664,008.40/7,163,630,496,012.80 = 4,775,753,664,008.40/x
  3. Step 3: Cross multiply
    4,775,753,664,008.40x = 7,163,630,496,012.80 × 4,775,753,664,008.40
  4. Step 4: Simplify right side
    4,775,753,664,008.40x = 34,211,734,588,935,442,660,327,424
  5. Step 5: Solve for x
    x = 34,211,734,588,935,442,660,327,424/4,775,753,664,008.40
  6. Step 6: Final answer
    x = 7,163,630,496,012.80

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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.