Finding the Fourth Proportional to 58,056,331,624,032, 80,117,769,785,814 and 31,358,977,593,786
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Solution
The fourth proportional to 58,056,331,624,032, 80,117,769,785,814 and 31,358,977,593,786 is: 43,275,406,442,274.27
Step by Step Solution
- Step 1: Write the proportion equation
58,056,331,624,032 : 80,117,769,785,814 = 31,358,977,593,786 : x - Step 2: Convert to fraction form
58,056,331,624,032/80,117,769,785,814 = 31,358,977,593,786/x - Step 3: Cross multiply
58,056,331,624,032x = 80,117,769,785,814 × 31,358,977,593,786 - Step 4: Simplify right side
58,056,331,624,032x = 2,512,411,347,577,446,000,094,085,120 - Step 5: Solve for x
x = 2,512,411,347,577,446,000,094,085,120/58,056,331,624,032 - Step 6: Final answer
x = 43,275,406,442,274.27
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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.