Finding the Fourth Proportional to 763,648,623,612.84, 1,145,476,558,413.20 and 233,656,549,331.88
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Solution
The fourth proportional to 763,648,623,612.84, 1,145,476,558,413.20 and 233,656,549,331.88 is: 350,485,932,539.41
Step by Step Solution
- Step 1: Write the proportion equation
763,648,623,612.84 : 1,145,476,558,413.20 = 233,656,549,331.88 : x - Step 2: Convert to fraction form
763,648,623,612.84/1,145,476,558,413.20 = 233,656,549,331.88/x - Step 3: Cross multiply
763,648,623,612.84x = 1,145,476,558,413.20 × 233,656,549,331.88 - Step 4: Simplify right side
763,648,623,612.84x = 267,648,099,979,385,976,651,776 - Step 5: Solve for x
x = 267,648,099,979,385,976,651,776/763,648,623,612.84 - Step 6: Final answer
x = 350,485,932,539.41
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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.