Finding the Fourth Proportional to 9,771,436,331.13, 14,650,463,148.06 and 4,976,056,650.14
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Solution
The fourth proportional to 9,771,436,331.13, 14,650,463,148.06 and 4,976,056,650.14 is: 7,460,677,438.31
Step by Step Solution
- Step 1: Write the proportion equation
9,771,436,331.13 : 14,650,463,148.06 = 4,976,056,650.14 : x - Step 2: Convert to fraction form
9,771,436,331.13/14,650,463,148.06 = 4,976,056,650.14/x - Step 3: Cross multiply
9,771,436,331.13x = 14,650,463,148.06 × 4,976,056,650.14 - Step 4: Simplify right side
9,771,436,331.13x = 72,901,534,575,534,964,736 - Step 5: Solve for x
x = 72,901,534,575,534,964,736/9,771,436,331.13 - Step 6: Final answer
x = 7,460,677,438.31
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1.5x scale
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.