Finding the Fourth Proportional to 302,292,681,869.93, 417,161,421,357.57 and 165,115,595,530.14
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Solution
The fourth proportional to 302,292,681,869.93, 417,161,421,357.57 and 165,115,595,530.14 is: 227,858,167,434.21
Step by Step Solution
- Step 1: Write the proportion equation
302,292,681,869.93 : 417,161,421,357.57 = 165,115,595,530.14 : x - Step 2: Convert to fraction form
302,292,681,869.93/417,161,421,357.57 = 165,115,595,530.14/x - Step 3: Cross multiply
302,292,681,869.93x = 417,161,421,357.57 × 165,115,595,530.14 - Step 4: Simplify right side
302,292,681,869.93x = 68,879,856,519,654,844,399,616 - Step 5: Solve for x
x = 68,879,856,519,654,844,399,616/302,292,681,869.93 - Step 6: Final answer
x = 227,858,167,434.21
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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.