Finding the Fourth Proportional to 21,193,534,201.59, 29,245,759,400.43 and 11,677,553,427.06
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Solution
The fourth proportional to 21,193,534,201.59, 29,245,759,400.43 and 11,677,553,427.06 is: 16,114,297,627.99
Step by Step Solution
- Step 1: Write the proportion equation
21,193,534,201.59 : 29,245,759,400.43 = 11,677,553,427.06 : x - Step 2: Convert to fraction form
21,193,534,201.59/29,245,759,400.43 = 11,677,553,427.06/x - Step 3: Cross multiply
21,193,534,201.59x = 29,245,759,400.43 × 11,677,553,427.06 - Step 4: Simplify right side
21,193,534,201.59x = 341,518,917,913,440,223,232 - Step 5: Solve for x
x = 341,518,917,913,440,223,232/21,193,534,201.59 - Step 6: Final answer
x = 16,114,297,627.99
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1.5x scale
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.