Finding the Fourth Proportional to 707,532,409,969.20, 1,061,298,614,953.80 and 310,813,829,233.20
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Solution
The fourth proportional to 707,532,409,969.20, 1,061,298,614,953.80 and 310,813,829,233.20 is: 466,220,743,849.80
Step by Step Solution
- Step 1: Write the proportion equation
707,532,409,969.20 : 1,061,298,614,953.80 = 310,813,829,233.20 : x - Step 2: Convert to fraction form
707,532,409,969.20/1,061,298,614,953.80 = 310,813,829,233.20/x - Step 3: Cross multiply
707,532,409,969.20x = 1,061,298,614,953.80 × 310,813,829,233.20 - Step 4: Simplify right side
707,532,409,969.20x = 329,866,286,473,682,117,197,824 - Step 5: Solve for x
x = 329,866,286,473,682,117,197,824/707,532,409,969.20 - Step 6: Final answer
x = 466,220,743,849.80
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Double scale
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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.