Finding the Fourth Proportional to 54,529,186,187,896, 75,252,642,376,104 and 30,197,113,236,090
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Solution
The fourth proportional to 54,529,186,187,896, 75,252,642,376,104 and 30,197,113,236,090 is: 41,673,326,194,818.79
Step by Step Solution
- Step 1: Write the proportion equation
54,529,186,187,896 : 75,252,642,376,104 = 30,197,113,236,090 : x - Step 2: Convert to fraction form
54,529,186,187,896/75,252,642,376,104 = 30,197,113,236,090/x - Step 3: Cross multiply
54,529,186,187,896x = 75,252,642,376,104 × 30,197,113,236,090 - Step 4: Simplify right side
54,529,186,187,896x = 2,272,412,563,146,197,386,972,364,800 - Step 5: Solve for x
x = 2,272,412,563,146,197,386,972,364,800/54,529,186,187,896 - Step 6: Final answer
x = 41,673,326,194,818.79
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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.