Finding the Fourth Proportional to 77,072,877,591.82, 106,351,944,546.02 and 42,780,029,737.12
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Solution
The fourth proportional to 77,072,877,591.82, 106,351,944,546.02 and 42,780,029,737.12 is: 59,031,652,799.77
Step by Step Solution
- Step 1: Write the proportion equation
77,072,877,591.82 : 106,351,944,546.02 = 42,780,029,737.12 : x - Step 2: Convert to fraction form
77,072,877,591.82/106,351,944,546.02 = 42,780,029,737.12/x - Step 3: Cross multiply
77,072,877,591.82x = 106,351,944,546.02 × 42,780,029,737.12 - Step 4: Simplify right side
77,072,877,591.82x = 4,549,739,350,279,273,316,352 - Step 5: Solve for x
x = 4,549,739,350,279,273,316,352/77,072,877,591.82 - Step 6: Final answer
x = 59,031,652,799.77
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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.