Finding the Fourth Proportional to 402,503,279,240.15, 603,710,169,638.85 and 144,043,600,715.08
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Solution
The fourth proportional to 402,503,279,240.15, 603,710,169,638.85 and 144,043,600,715.08 is: 216,049,386,696.32
Step by Step Solution
- Step 1: Write the proportion equation
402,503,279,240.15 : 603,710,169,638.85 = 144,043,600,715.08 : x - Step 2: Convert to fraction form
402,503,279,240.15/603,710,169,638.85 = 144,043,600,715.08/x - Step 3: Cross multiply
402,503,279,240.15x = 603,710,169,638.85 × 144,043,600,715.08 - Step 4: Simplify right side
402,503,279,240.15x = 86,960,586,623,091,707,215,872 - Step 5: Solve for x
x = 86,960,586,623,091,707,215,872/402,503,279,240.15 - Step 6: Final answer
x = 216,049,386,696.32
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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.