Finding the Fourth Proportional to 19,286,842,713,969, 26,597,964,769,688 and 14,076,017,622,406
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Solution
The fourth proportional to 19,286,842,713,969, 26,597,964,769,688 and 14,076,017,622,406 is: 19,411,856,381,609.73
Step by Step Solution
- Step 1: Write the proportion equation
19,286,842,713,969 : 26,597,964,769,688 = 14,076,017,622,406 : x - Step 2: Convert to fraction form
19,286,842,713,969/26,597,964,769,688 = 14,076,017,622,406/x - Step 3: Cross multiply
19,286,842,713,969x = 26,597,964,769,688 × 14,076,017,622,406 - Step 4: Simplify right side
19,286,842,713,969x = 374,393,420,818,262,211,579,346,944 - Step 5: Solve for x
x = 374,393,420,818,262,211,579,346,944/19,286,842,713,969 - Step 6: Final answer
x = 19,411,856,381,609.73
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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.