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Finding the Fourth Proportional to 5,166,912,884.80, 7,750,369,327.20 and 5,166,912,884.80

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Solution

The fourth proportional to 5,166,912,884.80, 7,750,369,327.20 and 5,166,912,884.80 is: 7,750,369,327.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166,912,884.80 : 7,750,369,327.20 = 5,166,912,884.80 : x
  2. Step 2: Convert to fraction form
    5,166,912,884.80/7,750,369,327.20 = 5,166,912,884.80/x
  3. Step 3: Cross multiply
    5,166,912,884.80x = 7,750,369,327.20 × 5,166,912,884.80
  4. Step 4: Simplify right side
    5,166,912,884.80x = 40,045,483,138,668,388,352
  5. Step 5: Solve for x
    x = 40,045,483,138,668,388,352/5,166,912,884.80
  6. Step 6: Final answer
    x = 7,750,369,327.20

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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.