Finding the Fourth Proportional to 37,896,497,165,698, 52,297,126,425,324 and 21,229,587,873,926
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Solution
The fourth proportional to 37,896,497,165,698, 52,297,126,425,324 and 21,229,587,873,926 is: 29,296,809,046,646.47
Step by Step Solution
- Step 1: Write the proportion equation
37,896,497,165,698 : 52,297,126,425,324 = 21,229,587,873,926 : x - Step 2: Convert to fraction form
37,896,497,165,698/52,297,126,425,324 = 21,229,587,873,926/x - Step 3: Cross multiply
37,896,497,165,698x = 52,297,126,425,324 × 21,229,587,873,926 - Step 4: Simplify right side
37,896,497,165,698x = 1,110,246,441,000,233,408,403,603,456 - Step 5: Solve for x
x = 1,110,246,441,000,233,408,403,603,456/37,896,497,165,698 - Step 6: Final answer
x = 29,296,809,046,646.47
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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.