Finding the Fourth Proportional to 2,068,432,849.70, 3,102,649,274.55 and 688,386,860.90
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Solution
The fourth proportional to 2,068,432,849.70, 3,102,649,274.55 and 688,386,860.90 is: 1,032,580,291.35
Step by Step Solution
- Step 1: Write the proportion equation
2,068,432,849.70 : 3,102,649,274.55 = 688,386,860.90 : x - Step 2: Convert to fraction form
2,068,432,849.70/3,102,649,274.55 = 688,386,860.90/x - Step 3: Cross multiply
2,068,432,849.70x = 3,102,649,274.55 × 688,386,860.90 - Step 4: Simplify right side
2,068,432,849.70x = 2,135,822,994,581,136,896 - Step 5: Solve for x
x = 2,135,822,994,581,136,896/2,068,432,849.70 - Step 6: Final answer
x = 1,032,580,291.35
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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.