Finding the Fourth Proportional to 16,128,342,142.70, 24,192,513,214.05 and 5,087,974,232.30
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Solution
The fourth proportional to 16,128,342,142.70, 24,192,513,214.05 and 5,087,974,232.30 is: 7,631,961,348.45
Step by Step Solution
- Step 1: Write the proportion equation
16,128,342,142.70 : 24,192,513,214.05 = 5,087,974,232.30 : x - Step 2: Convert to fraction form
16,128,342,142.70/24,192,513,214.05 = 5,087,974,232.30/x - Step 3: Cross multiply
16,128,342,142.70x = 24,192,513,214.05 × 5,087,974,232.30 - Step 4: Simplify right side
16,128,342,142.70x = 123,090,883,847,663,648,768 - Step 5: Solve for x
x = 123,090,883,847,663,648,768/16,128,342,142.70 - Step 6: Final answer
x = 7,631,961,348.45
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1.5x scale
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.