Finding the Fourth Proportional to 916,080,748,546.20, 1,264,248,846,289.10 and 504,549,145,413.40
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Solution
The fourth proportional to 916,080,748,546.20, 1,264,248,846,289.10 and 504,549,145,413.40 is: 696,309,442,150.53
Step by Step Solution
- Step 1: Write the proportion equation
916,080,748,546.20 : 1,264,248,846,289.10 = 504,549,145,413.40 : x - Step 2: Convert to fraction form
916,080,748,546.20/1,264,248,846,289.10 = 504,549,145,413.40/x - Step 3: Cross multiply
916,080,748,546.20x = 1,264,248,846,289.10 × 504,549,145,413.40 - Step 4: Simplify right side
916,080,748,546.20x = 637,875,674,985,042,402,082,816 - Step 5: Solve for x
x = 637,875,674,985,042,402,082,816/916,080,748,546.20 - Step 6: Final answer
x = 696,309,442,150.53
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.