Finding the Fourth Proportional to 10,363,714,185,468, 14,302,375,146,400 and 5,739,206,335,686
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Solution
The fourth proportional to 10,363,714,185,468, 14,302,375,146,400 and 5,739,206,335,686 is: 7,920,353,705,882.34
Step by Step Solution
- Step 1: Write the proportion equation
10,363,714,185,468 : 14,302,375,146,400 = 5,739,206,335,686 : x - Step 2: Convert to fraction form
10,363,714,185,468/14,302,375,146,400 = 5,739,206,335,686/x - Step 3: Cross multiply
10,363,714,185,468x = 14,302,375,146,400 × 5,739,206,335,686 - Step 4: Simplify right side
10,363,714,185,468x = 82,084,282,055,576,855,290,839,040 - Step 5: Solve for x
x = 82,084,282,055,576,855,290,839,040/10,363,714,185,468 - Step 6: Final answer
x = 7,920,353,705,882.34
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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.