Finding the Fourth Proportional to 26,548,464,845,506, 36,648,162,301,794 and 16,541,901,084,284
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Solution
The fourth proportional to 26,548,464,845,506, 36,648,162,301,794 and 16,541,901,084,284 is: 22,834,852,382,045.81
Step by Step Solution
- Step 1: Write the proportion equation
26,548,464,845,506 : 36,648,162,301,794 = 16,541,901,084,284 : x - Step 2: Convert to fraction form
26,548,464,845,506/36,648,162,301,794 = 16,541,901,084,284/x - Step 3: Cross multiply
26,548,464,845,506x = 36,648,162,301,794 × 16,541,901,084,284 - Step 4: Simplify right side
26,548,464,845,506x = 606,230,275,717,062,150,557,007,872 - Step 5: Solve for x
x = 606,230,275,717,062,150,557,007,872/26,548,464,845,506 - Step 6: Final answer
x = 22,834,852,382,045.81
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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.