Finding the Fourth Proportional to 1,643,471,809.24, 2,463,664,540.69 and 552,191,701.72
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Solution
The fourth proportional to 1,643,471,809.24, 2,463,664,540.69 and 552,191,701.72 is: 827,769,060.32
Step by Step Solution
- Step 1: Write the proportion equation
1,643,471,809.24 : 2,463,664,540.69 = 552,191,701.72 : x - Step 2: Convert to fraction form
1,643,471,809.24/2,463,664,540.69 = 552,191,701.72/x - Step 3: Cross multiply
1,643,471,809.24x = 2,463,664,540.69 × 552,191,701.72 - Step 4: Simplify right side
1,643,471,809.24x = 1,360,415,115,190,833,408 - Step 5: Solve for x
x = 1,360,415,115,190,833,408/1,643,471,809.24 - Step 6: Final answer
x = 827,769,060.32
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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.