Finding the Fourth Proportional to 7,824,528,794,110, 11,742,154,393,400 and 2,730,867,972,846.80
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Solution
The fourth proportional to 7,824,528,794,110, 11,742,154,393,400 and 2,730,867,972,846.80 is: 4,098,173,092,454.67
Step by Step Solution
- Step 1: Write the proportion equation
7,824,528,794,110 : 11,742,154,393,400 = 2,730,867,972,846.80 : x - Step 2: Convert to fraction form
7,824,528,794,110/11,742,154,393,400 = 2,730,867,972,846.80/x - Step 3: Cross multiply
7,824,528,794,110x = 11,742,154,393,400 × 2,730,867,972,846.80 - Step 4: Simplify right side
7,824,528,794,110x = 32,066,273,365,158,402,858,156,032 - Step 5: Solve for x
x = 32,066,273,365,158,402,858,156,032/7,824,528,794,110 - Step 6: Final answer
x = 4,098,173,092,454.67
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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.