Finding the Fourth Proportional to 30,754,521,619,132, 42,441,281,862,566 and 16,691,718,131,069
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Solution
The fourth proportional to 30,754,521,619,132, 42,441,281,862,566 and 16,691,718,131,069 is: 23,034,593,831,253.25
Step by Step Solution
- Step 1: Write the proportion equation
30,754,521,619,132 : 42,441,281,862,566 = 16,691,718,131,069 : x - Step 2: Convert to fraction form
30,754,521,619,132/42,441,281,862,566 = 16,691,718,131,069/x - Step 3: Cross multiply
30,754,521,619,132x = 42,441,281,862,566 × 16,691,718,131,069 - Step 4: Simplify right side
30,754,521,619,132x = 708,417,913,971,202,774,546,776,064 - Step 5: Solve for x
x = 708,417,913,971,202,774,546,776,064/30,754,521,619,132 - Step 6: Final answer
x = 23,034,593,831,253.25
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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.