Finding the Fourth Proportional to 3,546,637,163,073, 5,319,418,220,077.10 and 965,260,827,472.38
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Solution
The fourth proportional to 3,546,637,163,073, 5,319,418,220,077.10 and 965,260,827,472.38 is: 1,447,744,947,310.70
Step by Step Solution
- Step 1: Write the proportion equation
3,546,637,163,073 : 5,319,418,220,077.10 = 965,260,827,472.38 : x - Step 2: Convert to fraction form
3,546,637,163,073/5,319,418,220,077.10 = 965,260,827,472.38/x - Step 3: Cross multiply
3,546,637,163,073x = 5,319,418,220,077.10 × 965,260,827,472.38 - Step 4: Simplify right side
3,546,637,163,073x = 5,134,626,032,783,276,002,770,944 - Step 5: Solve for x
x = 5,134,626,032,783,276,002,770,944/3,546,637,163,073 - Step 6: Final answer
x = 1,447,744,947,310.70
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.