Finding the Fourth Proportional to 202,884,730,559.08, 304,062,358,510.14 and 113,344,107,141.40
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Solution
The fourth proportional to 202,884,730,559.08, 304,062,358,510.14 and 113,344,107,141.40 is: 169,868,261,872.99
Step by Step Solution
- Step 1: Write the proportion equation
202,884,730,559.08 : 304,062,358,510.14 = 113,344,107,141.40 : x - Step 2: Convert to fraction form
202,884,730,559.08/304,062,358,510.14 = 113,344,107,141.40/x - Step 3: Cross multiply
202,884,730,559.08x = 304,062,358,510.14 × 113,344,107,141.40 - Step 4: Simplify right side
202,884,730,559.08x = 34,463,676,540,640,085,147,648 - Step 5: Solve for x
x = 34,463,676,540,640,085,147,648/202,884,730,559.08 - Step 6: Final answer
x = 169,868,261,872.99
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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.