Finding the Fourth Proportional to 2,560,159,893,684.70, 3,840,465,597,969.20 and 722,314,656,649.70
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Solution
The fourth proportional to 2,560,159,893,684.70, 3,840,465,597,969.20 and 722,314,656,649.70 is: 1,083,535,679,398.37
Step by Step Solution
- Step 1: Write the proportion equation
2,560,159,893,684.70 : 3,840,465,597,969.20 = 722,314,656,649.70 : x - Step 2: Convert to fraction form
2,560,159,893,684.70/3,840,465,597,969.20 = 722,314,656,649.70/x - Step 3: Cross multiply
2,560,159,893,684.70x = 3,840,465,597,969.20 × 722,314,656,649.70 - Step 4: Simplify right side
2,560,159,893,684.70x = 2,774,024,589,772,107,213,176,832 - Step 5: Solve for x
x = 2,774,024,589,772,107,213,176,832/2,560,159,893,684.70 - Step 6: Final answer
x = 1,083,535,679,398.37
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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.