Finding the Fourth Proportional to 140,398,844,862.02, 193,750,777,463.99 and 76,169,567,173.29
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Solution
The fourth proportional to 140,398,844,862.02, 193,750,777,463.99 and 76,169,567,173.29 is: 105,114,204,275.86
Step by Step Solution
- Step 1: Write the proportion equation
140,398,844,862.02 : 193,750,777,463.99 = 76,169,567,173.29 : x - Step 2: Convert to fraction form
140,398,844,862.02/193,750,777,463.99 = 76,169,567,173.29/x - Step 3: Cross multiply
140,398,844,862.02x = 193,750,777,463.99 × 76,169,567,173.29 - Step 4: Simplify right side
140,398,844,862.02x = 14,757,912,858,920,545,681,408 - Step 5: Solve for x
x = 14,757,912,858,920,545,681,408/140,398,844,862.02 - Step 6: Final answer
x = 105,114,204,275.86
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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.