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Finding the Fourth Proportional to 264,080,603,130.30, 396,120,904,695.45 and 264,080,603,130.30

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Solution

The fourth proportional to 264,080,603,130.30, 396,120,904,695.45 and 264,080,603,130.30 is: 396,120,904,695.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,080,603,130.30 : 396,120,904,695.45 = 264,080,603,130.30 : x
  2. Step 2: Convert to fraction form
    264,080,603,130.30/396,120,904,695.45 = 264,080,603,130.30/x
  3. Step 3: Cross multiply
    264,080,603,130.30x = 396,120,904,695.45 × 264,080,603,130.30
  4. Step 4: Simplify right side
    264,080,603,130.30x = 104,607,847,424,494,521,024,512
  5. Step 5: Solve for x
    x = 104,607,847,424,494,521,024,512/264,080,603,130.30
  6. Step 6: Final answer
    x = 396,120,904,695.45

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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.