Finding the Fourth Proportional to 448,097,824,536.12, 618,376,860,937.80 and 242,332,063,876.08
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Solution
The fourth proportional to 448,097,824,536.12, 618,376,860,937.80 and 242,332,063,876.08 is: 334,419,255,704.71
Step by Step Solution
- Step 1: Write the proportion equation
448,097,824,536.12 : 618,376,860,937.80 = 242,332,063,876.08 : x - Step 2: Convert to fraction form
448,097,824,536.12/618,376,860,937.80 = 242,332,063,876.08/x - Step 3: Cross multiply
448,097,824,536.12x = 618,376,860,937.80 × 242,332,063,876.08 - Step 4: Simplify right side
448,097,824,536.12x = 149,852,540,964,268,784,222,208 - Step 5: Solve for x
x = 149,852,540,964,268,784,222,208/448,097,824,536.12 - Step 6: Final answer
x = 334,419,255,704.71
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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.