Finding the Fourth Proportional to 1,460,747,083.42, 2,014,655,568.87 and 1,284,157,505.98
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Solution
The fourth proportional to 1,460,747,083.42, 2,014,655,568.87 and 1,284,157,505.98 is: 1,771,104,046.75
Step by Step Solution
- Step 1: Write the proportion equation
1,460,747,083.42 : 2,014,655,568.87 = 1,284,157,505.98 : x - Step 2: Convert to fraction form
1,460,747,083.42/2,014,655,568.87 = 1,284,157,505.98/x - Step 3: Cross multiply
1,460,747,083.42x = 2,014,655,568.87 × 1,284,157,505.98 - Step 4: Simplify right side
1,460,747,083.42x = 2,587,135,070,728,817,152 - Step 5: Solve for x
x = 2,587,135,070,728,817,152/1,460,747,083.42 - Step 6: Final answer
x = 1,771,104,046.75
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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.