Finding the Fourth Proportional to 41,006,028,825,494, 56,588,375,816,738 and 22,255,624,174,743
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Solution
The fourth proportional to 41,006,028,825,494, 56,588,375,816,738 and 22,255,624,174,743 is: 30,712,791,774,985.16
Step by Step Solution
- Step 1: Write the proportion equation
41,006,028,825,494 : 56,588,375,816,738 = 22,255,624,174,743 : x - Step 2: Convert to fraction form
41,006,028,825,494/56,588,375,816,738 = 22,255,624,174,743/x - Step 3: Cross multiply
41,006,028,825,494x = 56,588,375,816,738 × 22,255,624,174,743 - Step 4: Simplify right side
41,006,028,825,494x = 1,259,409,624,836,436,499,328,139,264 - Step 5: Solve for x
x = 1,259,409,624,836,436,499,328,139,264/41,006,028,825,494 - Step 6: Final answer
x = 30,712,791,774,985.16
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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.