Finding the Fourth Proportional to 59,444,495,893,916, 82,035,946,861,148 and 33,106,474,307,356
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Solution
The fourth proportional to 59,444,495,893,916, 82,035,946,861,148 and 33,106,474,307,356 is: 45,688,350,556,206.61
Step by Step Solution
- Step 1: Write the proportion equation
59,444,495,893,916 : 82,035,946,861,148 = 33,106,474,307,356 : x - Step 2: Convert to fraction form
59,444,495,893,916/82,035,946,861,148 = 33,106,474,307,356/x - Step 3: Cross multiply
59,444,495,893,916x = 82,035,946,861,148 × 33,106,474,307,356 - Step 4: Simplify right side
59,444,495,893,916x = 2,715,920,967,038,218,612,590,510,080 - Step 5: Solve for x
x = 2,715,920,967,038,218,612,590,510,080/59,444,495,893,916 - Step 6: Final answer
x = 45,688,350,556,206.61
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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.