Finding the Fourth Proportional to 10,363,714,184,903, 14,302,375,145,620 and 5,739,206,335,117
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Solution
The fourth proportional to 10,363,714,184,903, 14,302,375,145,620 and 5,739,206,335,117 is: 7,920,353,705,096.94
Step by Step Solution
- Step 1: Write the proportion equation
10,363,714,184,903 : 14,302,375,145,620 = 5,739,206,335,117 : x - Step 2: Convert to fraction form
10,363,714,184,903/14,302,375,145,620 = 5,739,206,335,117/x - Step 3: Cross multiply
10,363,714,184,903x = 14,302,375,145,620 × 5,739,206,335,117 - Step 4: Simplify right side
10,363,714,184,903x = 82,084,282,042,962,227,104,841,728 - Step 5: Solve for x
x = 82,084,282,042,962,227,104,841,728/10,363,714,184,903 - Step 6: Final answer
x = 7,920,353,705,096.94
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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.