Finding the Fourth Proportional to 7,130,268,580,306.80, 10,696,018,969,083 and 1,967,113,597,101.40
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Solution
The fourth proportional to 7,130,268,580,306.80, 10,696,018,969,083 and 1,967,113,597,101.40 is: 2,950,840,366,244.99
Step by Step Solution
- Step 1: Write the proportion equation
7,130,268,580,306.80 : 10,696,018,969,083 = 1,967,113,597,101.40 : x - Step 2: Convert to fraction form
7,130,268,580,306.80/10,696,018,969,083 = 1,967,113,597,101.40/x - Step 3: Cross multiply
7,130,268,580,306.80x = 10,696,018,969,083 × 1,967,113,597,101.40 - Step 4: Simplify right side
7,130,268,580,306.80x = 21,040,284,348,937,665,737,916,416 - Step 5: Solve for x
x = 21,040,284,348,937,665,737,916,416/7,130,268,580,306.80 - Step 6: Final answer
x = 2,950,840,366,244.99
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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.