Finding the Fourth Proportional to 7,769,077,608.80, 11,653,616,413.20 and 6,871,154,895.20
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Solution
The fourth proportional to 7,769,077,608.80, 11,653,616,413.20 and 6,871,154,895.20 is: 10,306,732,342.80
Step by Step Solution
- Step 1: Write the proportion equation
7,769,077,608.80 : 11,653,616,413.20 = 6,871,154,895.20 : x - Step 2: Convert to fraction form
7,769,077,608.80/11,653,616,413.20 = 6,871,154,895.20/x - Step 3: Cross multiply
7,769,077,608.80x = 11,653,616,413.20 × 6,871,154,895.20 - Step 4: Simplify right side
7,769,077,608.80x = 80,073,803,464,342,241,280 - Step 5: Solve for x
x = 80,073,803,464,342,241,280/7,769,077,608.80 - Step 6: Final answer
x = 10,306,732,342.80
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1.5x scale
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.