Finding the Fourth Proportional to 12,584,873,909,846, 17,366,941,168,342 and 7,029,279,448,745
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Solution
The fourth proportional to 12,584,873,909,846, 17,366,941,168,342 and 7,029,279,448,745 is: 9,700,302,404,037.65
Step by Step Solution
- Step 1: Write the proportion equation
12,584,873,909,846 : 17,366,941,168,342 = 7,029,279,448,745 : x - Step 2: Convert to fraction form
12,584,873,909,846/17,366,941,168,342 = 7,029,279,448,745/x - Step 3: Cross multiply
12,584,873,909,846x = 17,366,941,168,342 × 7,029,279,448,745 - Step 4: Simplify right side
12,584,873,909,846x = 122,077,082,642,189,908,287,946,752 - Step 5: Solve for x
x = 122,077,082,642,189,908,287,946,752/12,584,873,909,846 - Step 6: Final answer
x = 9,700,302,404,037.65
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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.