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Finding the Fourth Proportional to 448,018,064,471.80, 672,027,096,707.70 and 448,018,064,471.80

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Solution

The fourth proportional to 448,018,064,471.80, 672,027,096,707.70 and 448,018,064,471.80 is: 672,027,096,707.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,018,064,471.80 : 672,027,096,707.70 = 448,018,064,471.80 : x
  2. Step 2: Convert to fraction form
    448,018,064,471.80/672,027,096,707.70 = 448,018,064,471.80/x
  3. Step 3: Cross multiply
    448,018,064,471.80x = 672,027,096,707.70 × 448,018,064,471.80
  4. Step 4: Simplify right side
    448,018,064,471.80x = 301,080,279,139,586,878,210,048
  5. Step 5: Solve for x
    x = 301,080,279,139,586,878,210,048/448,018,064,471.80
  6. Step 6: Final answer
    x = 672,027,096,707.70

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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.