Finding the Fourth Proportional to 1,845,688,589,764.70, 2,766,328,892,531.70 and 771,242,433,604.65
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Solution
The fourth proportional to 1,845,688,589,764.70, 2,766,328,892,531.70 and 771,242,433,604.65 is: 1,155,942,686,679.88
Step by Step Solution
- Step 1: Write the proportion equation
1,845,688,589,764.70 : 2,766,328,892,531.70 = 771,242,433,604.65 : x - Step 2: Convert to fraction form
1,845,688,589,764.70/2,766,328,892,531.70 = 771,242,433,604.65/x - Step 3: Cross multiply
1,845,688,589,764.70x = 2,766,328,892,531.70 × 771,242,433,604.65 - Step 4: Simplify right side
1,845,688,589,764.70x = 2,133,510,227,227,004,853,288,960 - Step 5: Solve for x
x = 2,133,510,227,227,004,853,288,960/1,845,688,589,764.70 - Step 6: Final answer
x = 1,155,942,686,679.88
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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.