Finding the Fourth Proportional to 2,972,688,822.76, 4,102,428,778.98 and 1,634,688,608.84
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Solution
The fourth proportional to 2,972,688,822.76, 4,102,428,778.98 and 1,634,688,608.84 is: 2,255,935,280.62
Step by Step Solution
- Step 1: Write the proportion equation
2,972,688,822.76 : 4,102,428,778.98 = 1,634,688,608.84 : x - Step 2: Convert to fraction form
2,972,688,822.76/4,102,428,778.98 = 1,634,688,608.84/x - Step 3: Cross multiply
2,972,688,822.76x = 4,102,428,778.98 × 1,634,688,608.84 - Step 4: Simplify right side
2,972,688,822.76x = 6,706,193,593,575,995,392 - Step 5: Solve for x
x = 6,706,193,593,575,995,392/2,972,688,822.76 - Step 6: Final answer
x = 2,255,935,280.62
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.