Finding the Fourth Proportional to 2,056,972,463,379.80, 3,083,420,641,749.80 and 965,916,361,389.06
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Solution
The fourth proportional to 2,056,972,463,379.80, 3,083,420,641,749.80 and 965,916,361,389.06 is: 1,447,917,509,803.32
Step by Step Solution
- Step 1: Write the proportion equation
2,056,972,463,379.80 : 3,083,420,641,749.80 = 965,916,361,389.06 : x - Step 2: Convert to fraction form
2,056,972,463,379.80/3,083,420,641,749.80 = 965,916,361,389.06/x - Step 3: Cross multiply
2,056,972,463,379.80x = 3,083,420,641,749.80 × 965,916,361,389.06 - Step 4: Simplify right side
2,056,972,463,379.80x = 2,978,326,446,910,886,924,779,520 - Step 5: Solve for x
x = 2,978,326,446,910,886,924,779,520/2,056,972,463,379.80 - Step 6: Final answer
x = 1,447,917,509,803.32
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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.