Finding the Fourth Proportional to 428,284,448,471.12, 642,290,376,444.60 and 141,389,086,869.49
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Solution
The fourth proportional to 428,284,448,471.12, 642,290,376,444.60 and 141,389,086,869.49 is: 212,038,634,965.02
Step by Step Solution
- Step 1: Write the proportion equation
428,284,448,471.12 : 642,290,376,444.60 = 141,389,086,869.49 : x - Step 2: Convert to fraction form
428,284,448,471.12/642,290,376,444.60 = 141,389,086,869.49/x - Step 3: Cross multiply
428,284,448,471.12x = 642,290,376,444.60 × 141,389,086,869.49 - Step 4: Simplify right side
428,284,448,471.12x = 90,812,849,830,562,977,808,384 - Step 5: Solve for x
x = 90,812,849,830,562,977,808,384/428,284,448,471.12 - Step 6: Final answer
x = 212,038,634,965.02
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.