Finding the Fourth Proportional to 12,940,031,490,213, 17,857,804,785,738 and 7,165,916,522,157
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Solution
The fourth proportional to 12,940,031,490,213, 17,857,804,785,738 and 7,165,916,522,157 is: 9,889,275,652,873.07
Step by Step Solution
- Step 1: Write the proportion equation
12,940,031,490,213 : 17,857,804,785,738 = 7,165,916,522,157 : x - Step 2: Convert to fraction form
12,940,031,490,213/17,857,804,785,738 = 7,165,916,522,157/x - Step 3: Cross multiply
12,940,031,490,213x = 17,857,804,785,738 × 7,165,916,522,157 - Step 4: Simplify right side
12,940,031,490,213x = 127,967,538,363,574,287,677,259,776 - Step 5: Solve for x
x = 127,967,538,363,574,287,677,259,776/12,940,031,490,213 - Step 6: Final answer
x = 9,889,275,652,873.07
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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.