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Finding the Fourth Proportional to 448,018,064,472.80, 672,027,096,709.20 and 448,018,064,472.80

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Solution

The fourth proportional to 448,018,064,472.80, 672,027,096,709.20 and 448,018,064,472.80 is: 672,027,096,709.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,018,064,472.80 : 672,027,096,709.20 = 448,018,064,472.80 : x
  2. Step 2: Convert to fraction form
    448,018,064,472.80/672,027,096,709.20 = 448,018,064,472.80/x
  3. Step 3: Cross multiply
    448,018,064,472.80x = 672,027,096,709.20 × 448,018,064,472.80
  4. Step 4: Simplify right side
    448,018,064,472.80x = 301,080,279,140,930,934,538,240
  5. Step 5: Solve for x
    x = 301,080,279,140,930,934,538,240/448,018,064,472.80
  6. Step 6: Final answer
    x = 672,027,096,709.20

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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.