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Finding the Fourth Proportional to 172,380,651,818.40, 258,570,977,727.60 and 172,380,651,818.40

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Solution

The fourth proportional to 172,380,651,818.40, 258,570,977,727.60 and 172,380,651,818.40 is: 258,570,977,727.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,380,651,818.40 : 258,570,977,727.60 = 172,380,651,818.40 : x
  2. Step 2: Convert to fraction form
    172,380,651,818.40/258,570,977,727.60 = 172,380,651,818.40/x
  3. Step 3: Cross multiply
    172,380,651,818.40x = 258,570,977,727.60 × 172,380,651,818.40
  4. Step 4: Simplify right side
    172,380,651,818.40x = 44,572,633,682,004,672,512,000
  5. Step 5: Solve for x
    x = 44,572,633,682,004,672,512,000/172,380,651,818.40
  6. Step 6: Final answer
    x = 258,570,977,727.60

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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.