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Finding the Fourth Proportional to 1,466,228,745.45, 2,199,343,118.18 and 1,466,228,745.45

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Solution

The fourth proportional to 1,466,228,745.45, 2,199,343,118.18 and 1,466,228,745.45 is: 2,199,343,118.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466,228,745.45 : 2,199,343,118.18 = 1,466,228,745.45 : x
  2. Step 2: Convert to fraction form
    1,466,228,745.45/2,199,343,118.18 = 1,466,228,745.45/x
  3. Step 3: Cross multiply
    1,466,228,745.45x = 2,199,343,118.18 × 1,466,228,745.45
  4. Step 4: Simplify right side
    1,466,228,745.45x = 3,224,740,100,975,821,824
  5. Step 5: Solve for x
    x = 3,224,740,100,975,821,824/1,466,228,745.45
  6. Step 6: Final answer
    x = 2,199,343,118.18

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Why These Related Problems?

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