Finding the Fourth Proportional to 30,993,705,005,370, 42,772,612,309,566 and 17,824,706,606,732
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Solution
The fourth proportional to 30,993,705,005,370, 42,772,612,309,566 and 17,824,706,606,732 is: 24,598,842,412,980.70
Step by Step Solution
- Step 1: Write the proportion equation
30,993,705,005,370 : 42,772,612,309,566 = 17,824,706,606,732 : x - Step 2: Convert to fraction form
30,993,705,005,370/42,772,612,309,566 = 17,824,706,606,732/x - Step 3: Cross multiply
30,993,705,005,370x = 42,772,612,309,566 × 17,824,706,606,732 - Step 4: Simplify right side
30,993,705,005,370x = 762,409,265,221,507,568,807,968,768 - Step 5: Solve for x
x = 762,409,265,221,507,568,807,968,768/30,993,705,005,370 - Step 6: Final answer
x = 24,598,842,412,980.70
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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.