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Finding the Fourth Proportional to 735,676,263,003.78, 1,103,514,394,505.70 and 735,676,263,003.78

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Solution

The fourth proportional to 735,676,263,003.78, 1,103,514,394,505.70 and 735,676,263,003.78 is: 1,103,514,394,505.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,676,263,003.78 : 1,103,514,394,505.70 = 735,676,263,003.78 : x
  2. Step 2: Convert to fraction form
    735,676,263,003.78/1,103,514,394,505.70 = 735,676,263,003.78/x
  3. Step 3: Cross multiply
    735,676,263,003.78x = 1,103,514,394,505.70 × 735,676,263,003.78
  4. Step 4: Simplify right side
    735,676,263,003.78x = 811,829,345,920,832,344,424,448
  5. Step 5: Solve for x
    x = 811,829,345,920,832,344,424,448/735,676,263,003.78
  6. Step 6: Final answer
    x = 1,103,514,394,505.70

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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.