Finding the Fourth Proportional to 2,146,299,301,357.40, 3,219,107,771,534.10 and 713,588,029,088.52
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Solution
The fourth proportional to 2,146,299,301,357.40, 3,219,107,771,534.10 and 713,588,029,088.52 is: 1,070,268,610,095.42
Step by Step Solution
- Step 1: Write the proportion equation
2,146,299,301,357.40 : 3,219,107,771,534.10 = 713,588,029,088.52 : x - Step 2: Convert to fraction form
2,146,299,301,357.40/3,219,107,771,534.10 = 713,588,029,088.52/x - Step 3: Cross multiply
2,146,299,301,357.40x = 3,219,107,771,534.10 × 713,588,029,088.52 - Step 4: Simplify right side
2,146,299,301,357.40x = 2,297,116,770,112,556,329,074,688 - Step 5: Solve for x
x = 2,297,116,770,112,556,329,074,688/2,146,299,301,357.40 - Step 6: Final answer
x = 1,070,268,610,095.42
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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.