Finding the Fourth Proportional to 1,015,706,936,016, 1,401,675,800,493.30 and 558,965,419,988
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Solution
The fourth proportional to 1,015,706,936,016, 1,401,675,800,493.30 and 558,965,419,988 is: 771,372,405,492.18
Step by Step Solution
- Step 1: Write the proportion equation
1,015,706,936,016 : 1,401,675,800,493.30 = 558,965,419,988 : x - Step 2: Convert to fraction form
1,015,706,936,016/1,401,675,800,493.30 = 558,965,419,988/x - Step 3: Cross multiply
1,015,706,936,016x = 1,401,675,800,493.30 × 558,965,419,988 - Step 4: Simplify right side
1,015,706,936,016x = 783,488,302,509,753,492,307,968 - Step 5: Solve for x
x = 783,488,302,509,753,492,307,968/1,015,706,936,016 - Step 6: Final answer
x = 771,372,405,492.18
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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.