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Finding the Fourth Proportional to 735,676,263,002.73, 1,103,514,394,504 and 735,676,263,002.73

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Solution

The fourth proportional to 735,676,263,002.73, 1,103,514,394,504 and 735,676,263,002.73 is: 1,103,514,394,504

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,676,263,002.73 : 1,103,514,394,504 = 735,676,263,002.73 : x
  2. Step 2: Convert to fraction form
    735,676,263,002.73/1,103,514,394,504 = 735,676,263,002.73/x
  3. Step 3: Cross multiply
    735,676,263,002.73x = 1,103,514,394,504 × 735,676,263,002.73
  4. Step 4: Simplify right side
    735,676,263,002.73x = 811,829,345,918,423,001,989,120
  5. Step 5: Solve for x
    x = 811,829,345,918,423,001,989,120/735,676,263,002.73
  6. Step 6: Final answer
    x = 1,103,514,394,504

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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.