Finding the Fourth Proportional to 41,006,028,825,436, 56,588,375,816,658 and 22,255,624,174,688
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Solution
The fourth proportional to 41,006,028,825,436, 56,588,375,816,658 and 22,255,624,174,688 is: 30,712,791,774,909.28
Step by Step Solution
- Step 1: Write the proportion equation
41,006,028,825,436 : 56,588,375,816,658 = 22,255,624,174,688 : x - Step 2: Convert to fraction form
41,006,028,825,436/56,588,375,816,658 = 22,255,624,174,688/x - Step 3: Cross multiply
41,006,028,825,436x = 56,588,375,816,658 × 22,255,624,174,688 - Step 4: Simplify right side
41,006,028,825,436x = 1,259,409,624,831,543,672,584,536,064 - Step 5: Solve for x
x = 1,259,409,624,831,543,672,584,536,064/41,006,028,825,436 - Step 6: Final answer
x = 30,712,791,774,909.28
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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.