Finding the Fourth Proportional to 202,884,730,558.08, 304,062,358,508.64 and 113,344,107,140.40
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Solution
The fourth proportional to 202,884,730,558.08, 304,062,358,508.64 and 113,344,107,140.40 is: 169,868,261,871.49
Step by Step Solution
- Step 1: Write the proportion equation
202,884,730,558.08 : 304,062,358,508.64 = 113,344,107,140.40 : x - Step 2: Convert to fraction form
202,884,730,558.08/304,062,358,508.64 = 113,344,107,140.40/x - Step 3: Cross multiply
202,884,730,558.08x = 304,062,358,508.64 × 113,344,107,140.40 - Step 4: Simplify right side
202,884,730,558.08x = 34,463,676,540,166,007,160,832 - Step 5: Solve for x
x = 34,463,676,540,166,007,160,832/202,884,730,558.08 - Step 6: Final answer
x = 169,868,261,871.49
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1.5x scale
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.