Finding the Fourth Proportional to 2,146,299,301,349.10, 3,219,107,771,521.70 and 713,588,029,080.25
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Solution
The fourth proportional to 2,146,299,301,349.10, 3,219,107,771,521.70 and 713,588,029,080.25 is: 1,070,268,610,083.03
Step by Step Solution
- Step 1: Write the proportion equation
2,146,299,301,349.10 : 3,219,107,771,521.70 = 713,588,029,080.25 : x - Step 2: Convert to fraction form
2,146,299,301,349.10/3,219,107,771,521.70 = 713,588,029,080.25/x - Step 3: Cross multiply
2,146,299,301,349.10x = 3,219,107,771,521.70 × 713,588,029,080.25 - Step 4: Simplify right side
2,146,299,301,349.10x = 2,297,116,770,077,085,804,789,760 - Step 5: Solve for x
x = 2,297,116,770,077,085,804,789,760/2,146,299,301,349.10 - Step 6: Final answer
x = 1,070,268,610,083.03
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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.