Finding the Fourth Proportional to 7,130,092,863.49, 10,696,372,053.84 and 2,408,449,165.52
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Solution
The fourth proportional to 7,130,092,863.49, 10,696,372,053.84 and 2,408,449,165.52 is: 3,613,090,157.50
Step by Step Solution
- Step 1: Write the proportion equation
7,130,092,863.49 : 10,696,372,053.84 = 2,408,449,165.52 : x - Step 2: Convert to fraction form
7,130,092,863.49/10,696,372,053.84 = 2,408,449,165.52/x - Step 3: Cross multiply
7,130,092,863.49x = 10,696,372,053.84 × 2,408,449,165.52 - Step 4: Simplify right side
7,130,092,863.49x = 25,761,668,347,108,913,152 - Step 5: Solve for x
x = 25,761,668,347,108,913,152/7,130,092,863.49 - Step 6: Final answer
x = 3,613,090,157.50
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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.