Finding the Fourth Proportional to 2,054,027,029,161.40, 3,081,038,773,484.40 and 524,203,207,382.16
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Solution
The fourth proportional to 2,054,027,029,161.40, 3,081,038,773,484.40 and 524,203,207,382.16 is: 786,304,359,290.11
Step by Step Solution
- Step 1: Write the proportion equation
2,054,027,029,161.40 : 3,081,038,773,484.40 = 524,203,207,382.16 : x - Step 2: Convert to fraction form
2,054,027,029,161.40/3,081,038,773,484.40 = 524,203,207,382.16/x - Step 3: Cross multiply
2,054,027,029,161.40x = 3,081,038,773,484.40 × 524,203,207,382.16 - Step 4: Simplify right side
2,054,027,029,161.40x = 1,615,090,407,129,318,711,885,824 - Step 5: Solve for x
x = 1,615,090,407,129,318,711,885,824/2,054,027,029,161.40 - Step 6: Final answer
x = 786,304,359,290.11
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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.