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Finding the Fourth Proportional to 12,824,571,830.10, 19,236,857,745.15 and 12,824,571,830.10

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Solution

The fourth proportional to 12,824,571,830.10, 19,236,857,745.15 and 12,824,571,830.10 is: 19,236,857,745.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,824,571,830.10 : 19,236,857,745.15 = 12,824,571,830.10 : x
  2. Step 2: Convert to fraction form
    12,824,571,830.10/19,236,857,745.15 = 12,824,571,830.10/x
  3. Step 3: Cross multiply
    12,824,571,830.10x = 19,236,857,745.15 × 12,824,571,830.10
  4. Step 4: Simplify right side
    12,824,571,830.10x = 246,704,463,938,091,712,512
  5. Step 5: Solve for x
    x = 246,704,463,938,091,712,512/12,824,571,830.10
  6. Step 6: Final answer
    x = 19,236,857,745.15

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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.