Finding the Fourth Proportional to 302,292,681,868.93, 417,161,421,356.19 and 165,115,595,529.14
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Solution
The fourth proportional to 302,292,681,868.93, 417,161,421,356.19 and 165,115,595,529.14 is: 227,858,167,432.83
Step by Step Solution
- Step 1: Write the proportion equation
302,292,681,868.93 : 417,161,421,356.19 = 165,115,595,529.14 : x - Step 2: Convert to fraction form
302,292,681,868.93/417,161,421,356.19 = 165,115,595,529.14/x - Step 3: Cross multiply
302,292,681,868.93x = 417,161,421,356.19 × 165,115,595,529.14 - Step 4: Simplify right side
302,292,681,868.93x = 68,879,856,519,009,819,164,672 - Step 5: Solve for x
x = 68,879,856,519,009,819,164,672/302,292,681,868.93 - Step 6: Final answer
x = 227,858,167,432.83
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1.5x scale
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.