Finding the Fourth Proportional to 1,015,706,934,404, 1,401,675,798,270 and 558,965,418,376.16
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Solution
The fourth proportional to 1,015,706,934,404, 1,401,675,798,270 and 558,965,418,376.16 is: 771,372,403,268.53
Step by Step Solution
- Step 1: Write the proportion equation
1,015,706,934,404 : 1,401,675,798,270 = 558,965,418,376.16 : x - Step 2: Convert to fraction form
1,015,706,934,404/1,401,675,798,270 = 558,965,418,376.16/x - Step 3: Cross multiply
1,015,706,934,404x = 1,401,675,798,270 × 558,965,418,376.16 - Step 4: Simplify right side
1,015,706,934,404x = 783,488,299,007,728,695,640,064 - Step 5: Solve for x
x = 783,488,299,007,728,695,640,064/1,015,706,934,404 - Step 6: Final answer
x = 771,372,403,268.53
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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.