Finding the Fourth Proportional to 607,431,905,652.24, 910,510,044,794.16 and 204,375,445,413.18
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Solution
The fourth proportional to 607,431,905,652.24, 910,510,044,794.16 and 204,375,445,413.18 is: 306,348,570,475.84
Step by Step Solution
- Step 1: Write the proportion equation
607,431,905,652.24 : 910,510,044,794.16 = 204,375,445,413.18 : x - Step 2: Convert to fraction form
607,431,905,652.24/910,510,044,794.16 = 204,375,445,413.18/x - Step 3: Cross multiply
607,431,905,652.24x = 910,510,044,794.16 × 204,375,445,413.18 - Step 4: Simplify right side
607,431,905,652.24x = 186,085,895,957,980,939,026,432 - Step 5: Solve for x
x = 186,085,895,957,980,939,026,432/607,431,905,652.24 - Step 6: Final answer
x = 306,348,570,475.84
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.