Finding the Fourth Proportional to 40,432,119,361,766, 55,791,617,546,362 and 22,634,857,974,082
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Solution
The fourth proportional to 40,432,119,361,766, 55,791,617,546,362 and 22,634,857,974,082 is: 31,233,468,817,377.54
Step by Step Solution
- Step 1: Write the proportion equation
40,432,119,361,766 : 55,791,617,546,362 = 22,634,857,974,082 : x - Step 2: Convert to fraction form
40,432,119,361,766/55,791,617,546,362 = 22,634,857,974,082/x - Step 3: Cross multiply
40,432,119,361,766x = 55,791,617,546,362 × 22,634,857,974,082 - Step 4: Simplify right side
40,432,119,361,766x = 1,262,835,339,306,205,211,648,851,968 - Step 5: Solve for x
x = 1,262,835,339,306,205,211,648,851,968/40,432,119,361,766 - Step 6: Final answer
x = 31,233,468,817,377.54
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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.