Finding the Fourth Proportional to 164,182,895,864.21, 226,596,183,221.71 and 91,929,617,004.02
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Solution
The fourth proportional to 164,182,895,864.21, 226,596,183,221.71 and 91,929,617,004.02 is: 126,876,190,290.69
Step by Step Solution
- Step 1: Write the proportion equation
164,182,895,864.21 : 226,596,183,221.71 = 91,929,617,004.02 : x - Step 2: Convert to fraction form
164,182,895,864.21/226,596,183,221.71 = 91,929,617,004.02/x - Step 3: Cross multiply
164,182,895,864.21x = 226,596,183,221.71 × 91,929,617,004.02 - Step 4: Simplify right side
164,182,895,864.21x = 20,830,900,338,143,407,374,336 - Step 5: Solve for x
x = 20,830,900,338,143,407,374,336/164,182,895,864.21 - Step 6: Final answer
x = 126,876,190,290.69
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.