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Finding the Fourth Proportional to 4,809,214,101.60, 7,213,821,152.40 and 4,809,214,101.60

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Solution

The fourth proportional to 4,809,214,101.60, 7,213,821,152.40 and 4,809,214,101.60 is: 7,213,821,152.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809,214,101.60 : 7,213,821,152.40 = 4,809,214,101.60 : x
  2. Step 2: Convert to fraction form
    4,809,214,101.60/7,213,821,152.40 = 4,809,214,101.60/x
  3. Step 3: Cross multiply
    4,809,214,101.60x = 7,213,821,152.40 × 4,809,214,101.60
  4. Step 4: Simplify right side
    4,809,214,101.60x = 34,692,810,412,542,443,520
  5. Step 5: Solve for x
    x = 34,692,810,412,542,443,520/4,809,214,101.60
  6. Step 6: Final answer
    x = 7,213,821,152.40

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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.