Finding the Fourth Proportional to 19,286,842,713,963, 26,597,964,769,682 and 14,076,017,622,400
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Solution
The fourth proportional to 19,286,842,713,963, 26,597,964,769,682 and 14,076,017,622,400 is: 19,411,856,381,603.11
Step by Step Solution
- Step 1: Write the proportion equation
19,286,842,713,963 : 26,597,964,769,682 = 14,076,017,622,400 : x - Step 2: Convert to fraction form
19,286,842,713,963/26,597,964,769,682 = 14,076,017,622,400/x - Step 3: Cross multiply
19,286,842,713,963x = 26,597,964,769,682 × 14,076,017,622,400 - Step 4: Simplify right side
19,286,842,713,963x = 374,393,420,818,018,188,717,457,408 - Step 5: Solve for x
x = 374,393,420,818,018,188,717,457,408/19,286,842,713,963 - Step 6: Final answer
x = 19,411,856,381,603.11
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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.