Finding the Fourth Proportional to 1,614,174,086,083.10, 2,227,560,427,664.40 and 882,562,988,261.68
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Solution
The fourth proportional to 1,614,174,086,083.10, 2,227,560,427,664.40 and 882,562,988,261.68 is: 1,217,937,027,067.20
Step by Step Solution
- Step 1: Write the proportion equation
1,614,174,086,083.10 : 2,227,560,427,664.40 = 882,562,988,261.68 : x - Step 2: Convert to fraction form
1,614,174,086,083.10/2,227,560,427,664.40 = 882,562,988,261.68/x - Step 3: Cross multiply
1,614,174,086,083.10x = 2,227,560,427,664.40 × 882,562,988,261.68 - Step 4: Simplify right side
1,614,174,086,083.10x = 1,965,962,387,572,958,838,128,640 - Step 5: Solve for x
x = 1,965,962,387,572,958,838,128,640/1,614,174,086,083.10 - Step 6: Final answer
x = 1,217,937,027,067.20
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.