Finding the Fourth Proportional to 17,403,126,811,641, 24,016,389,664,803 and 9,492,972,109,206.10
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Solution
The fourth proportional to 17,403,126,811,641, 24,016,389,664,803 and 9,492,972,109,206.10 is: 13,100,342,238,459.09
Step by Step Solution
- Step 1: Write the proportion equation
17,403,126,811,641 : 24,016,389,664,803 = 9,492,972,109,206.10 : x - Step 2: Convert to fraction form
17,403,126,811,641/24,016,389,664,803 = 9,492,972,109,206.10/x - Step 3: Cross multiply
17,403,126,811,641x = 24,016,389,664,803 × 9,492,972,109,206.10 - Step 4: Simplify right side
17,403,126,811,641x = 227,986,917,251,800,498,704,482,304 - Step 5: Solve for x
x = 227,986,917,251,800,498,704,482,304/17,403,126,811,641 - Step 6: Final answer
x = 13,100,342,238,459.09
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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.