Finding the Fourth Proportional to 1,633,421,092,177.40, 2,254,318,768,428.60 and 929,658,065,811.20
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Solution
The fourth proportional to 1,633,421,092,177.40, 2,254,318,768,428.60 and 929,658,065,811.20 is: 1,283,040,629,275.53
Step by Step Solution
- Step 1: Write the proportion equation
1,633,421,092,177.40 : 2,254,318,768,428.60 = 929,658,065,811.20 : x - Step 2: Convert to fraction form
1,633,421,092,177.40/2,254,318,768,428.60 = 929,658,065,811.20/x - Step 3: Cross multiply
1,633,421,092,177.40x = 2,254,318,768,428.60 × 929,658,065,811.20 - Step 4: Simplify right side
1,633,421,092,177.40x = 2,095,745,625,979,218,821,120,000 - Step 5: Solve for x
x = 2,095,745,625,979,218,821,120,000/1,633,421,092,177.40 - Step 6: Final answer
x = 1,283,040,629,275.53
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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.