Finding the Fourth Proportional to 1,010,314,273,970, 1,515,471,428,463.10 and 245,397,270,328.65
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Solution
The fourth proportional to 1,010,314,273,970, 1,515,471,428,463.10 and 245,397,270,328.65 is: 368,095,909,745.55
Step by Step Solution
- Step 1: Write the proportion equation
1,010,314,273,970 : 1,515,471,428,463.10 = 245,397,270,328.65 : x - Step 2: Convert to fraction form
1,010,314,273,970/1,515,471,428,463.10 = 245,397,270,328.65/x - Step 3: Cross multiply
1,010,314,273,970x = 1,515,471,428,463.10 × 245,397,270,328.65 - Step 4: Simplify right side
1,010,314,273,970x = 371,892,551,805,904,751,689,728 - Step 5: Solve for x
x = 371,892,551,805,904,751,689,728/1,010,314,273,970 - Step 6: Final answer
x = 368,095,909,745.55
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.