Finding the Fourth Proportional to 29,989,761,221,844, 41,382,561,440,408 and 16,818,041,973,421
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Solution
The fourth proportional to 29,989,761,221,844, 41,382,561,440,408 and 16,818,041,973,421 is: 23,207,042,234,318.31
Step by Step Solution
- Step 1: Write the proportion equation
29,989,761,221,844 : 41,382,561,440,408 = 16,818,041,973,421 : x - Step 2: Convert to fraction form
29,989,761,221,844/41,382,561,440,408 = 16,818,041,973,421/x - Step 3: Cross multiply
29,989,761,221,844x = 41,382,561,440,408 × 16,818,041,973,421 - Step 4: Simplify right side
29,989,761,221,844x = 695,973,655,272,455,165,184,049,152 - Step 5: Solve for x
x = 695,973,655,272,455,165,184,049,152/29,989,761,221,844 - Step 6: Final answer
x = 23,207,042,234,318.31
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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.