Finding the Fourth Proportional to 2,047,523,121,234.50, 2,824,510,652,701 and 1,266,006,428,502.70
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Solution
The fourth proportional to 2,047,523,121,234.50, 2,824,510,652,701 and 1,266,006,428,502.70 is: 1,746,426,502,640.84
Step by Step Solution
- Step 1: Write the proportion equation
2,047,523,121,234.50 : 2,824,510,652,701 = 1,266,006,428,502.70 : x - Step 2: Convert to fraction form
2,047,523,121,234.50/2,824,510,652,701 = 1,266,006,428,502.70/x - Step 3: Cross multiply
2,047,523,121,234.50x = 2,824,510,652,701 × 1,266,006,428,502.70 - Step 4: Simplify right side
2,047,523,121,234.50x = 3,575,848,643,693,822,871,601,152 - Step 5: Solve for x
x = 3,575,848,643,693,822,871,601,152/2,047,523,121,234.50 - Step 6: Final answer
x = 1,746,426,502,640.84
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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.