Finding the Fourth Proportional to 10,323,283,347,408, 14,246,058,547,696 and 5,635,682,112,404.40
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Solution
The fourth proportional to 10,323,283,347,408, 14,246,058,547,696 and 5,635,682,112,404.40 is: 7,777,201,751,386.07
Step by Step Solution
- Step 1: Write the proportion equation
10,323,283,347,408 : 14,246,058,547,696 = 5,635,682,112,404.40 : x - Step 2: Convert to fraction form
10,323,283,347,408/14,246,058,547,696 = 5,635,682,112,404.40/x - Step 3: Cross multiply
10,323,283,347,408x = 14,246,058,547,696 × 5,635,682,112,404.40 - Step 4: Simplify right side
10,323,283,347,408x = 80,286,257,329,516,161,297,022,976 - Step 5: Solve for x
x = 80,286,257,329,516,161,297,022,976/10,323,283,347,408 - Step 6: Final answer
x = 7,777,201,751,386.07
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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.