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Finding the Fourth Proportional to 176,053,733,784.20, 264,080,600,676.30 and 176,053,733,784.20

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Solution

The fourth proportional to 176,053,733,784.20, 264,080,600,676.30 and 176,053,733,784.20 is: 264,080,600,676.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,053,733,784.20 : 264,080,600,676.30 = 176,053,733,784.20 : x
  2. Step 2: Convert to fraction form
    176,053,733,784.20/264,080,600,676.30 = 176,053,733,784.20/x
  3. Step 3: Cross multiply
    176,053,733,784.20x = 264,080,600,676.30 × 176,053,733,784.20
  4. Step 4: Simplify right side
    176,053,733,784.20x = 46,492,375,769,036,951,126,016
  5. Step 5: Solve for x
    x = 46,492,375,769,036,951,126,016/176,053,733,784.20
  6. Step 6: Final answer
    x = 264,080,600,676.30

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1.5x scale

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.