Finding the Fourth Proportional to 14,106,457,521,714, 19,467,514,733,668 and 7,856,321,539,746.80
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Solution
The fourth proportional to 14,106,457,521,714, 19,467,514,733,668 and 7,856,321,539,746.80 is: 10,842,059,751,147.98
Step by Step Solution
- Step 1: Write the proportion equation
14,106,457,521,714 : 19,467,514,733,668 = 7,856,321,539,746.80 : x - Step 2: Convert to fraction form
14,106,457,521,714/19,467,514,733,668 = 7,856,321,539,746.80/x - Step 3: Cross multiply
14,106,457,521,714x = 19,467,514,733,668 × 7,856,321,539,746.80 - Step 4: Simplify right side
14,106,457,521,714x = 152,943,055,327,454,097,909,481,472 - Step 5: Solve for x
x = 152,943,055,327,454,097,909,481,472/14,106,457,521,714 - Step 6: Final answer
x = 10,842,059,751,147.98
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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.