Finding the Fourth Proportional to 1,827,798,738.18, 2,741,564,006.58 and 583,895,213.82
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Solution
The fourth proportional to 1,827,798,738.18, 2,741,564,006.58 and 583,895,213.82 is: 875,799,981.90
Step by Step Solution
- Step 1: Write the proportion equation
1,827,798,738.18 : 2,741,564,006.58 = 583,895,213.82 : x - Step 2: Convert to fraction form
1,827,798,738.18/2,741,564,006.58 = 583,895,213.82/x - Step 3: Cross multiply
1,827,798,738.18x = 2,741,564,006.58 × 583,895,213.82 - Step 4: Simplify right side
1,827,798,738.18x = 1,600,786,101,823,245,056 - Step 5: Solve for x
x = 1,600,786,101,823,245,056/1,827,798,738.18 - Step 6: Final answer
x = 875,799,981.90
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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.