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Finding the Fourth Proportional to 411,734,590,342.80, 617,601,885,514.20 and 411,734,590,342.80

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Solution

The fourth proportional to 411,734,590,342.80, 617,601,885,514.20 and 411,734,590,342.80 is: 617,601,885,514.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,734,590,342.80 : 617,601,885,514.20 = 411,734,590,342.80 : x
  2. Step 2: Convert to fraction form
    411,734,590,342.80/617,601,885,514.20 = 411,734,590,342.80/x
  3. Step 3: Cross multiply
    411,734,590,342.80x = 617,601,885,514.20 × 411,734,590,342.80
  4. Step 4: Simplify right side
    411,734,590,342.80x = 254,288,059,327,129,959,006,208
  5. Step 5: Solve for x
    x = 254,288,059,327,129,959,006,208/411,734,590,342.80
  6. Step 6: Final answer
    x = 617,601,885,514.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.