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Finding the Fourth Proportional to 9,099,378,004.20, 12,775,862,407.80 and 9,099,378,004.20

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Solution

The fourth proportional to 9,099,378,004.20, 12,775,862,407.80 and 9,099,378,004.20 is: 12,775,862,407.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099,378,004.20 : 12,775,862,407.80 = 9,099,378,004.20 : x
  2. Step 2: Convert to fraction form
    9,099,378,004.20/12,775,862,407.80 = 9,099,378,004.20/x
  3. Step 3: Cross multiply
    9,099,378,004.20x = 12,775,862,407.80 × 9,099,378,004.20
  4. Step 4: Simplify right side
    9,099,378,004.20x = 116,252,401,378,220,965,888
  5. Step 5: Solve for x
    x = 116,252,401,378,220,965,888/9,099,378,004.20
  6. Step 6: Final answer
    x = 12,775,862,407.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.