Finding the Fourth Proportional to 31,725,124,062,657, 47,609,423,479,396 and 11,072,504,124,546
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Solution
The fourth proportional to 31,725,124,062,657, 47,609,423,479,396 and 11,072,504,124,546 is: 16,616,342,832,946.51
Step by Step Solution
- Step 1: Write the proportion equation
31,725,124,062,657 : 47,609,423,479,396 = 11,072,504,124,546 : x - Step 2: Convert to fraction form
31,725,124,062,657/47,609,423,479,396 = 11,072,504,124,546/x - Step 3: Cross multiply
31,725,124,062,657x = 47,609,423,479,396 × 11,072,504,124,546 - Step 4: Simplify right side
31,725,124,062,657x = 527,155,537,842,869,368,766,070,784 - Step 5: Solve for x
x = 527,155,537,842,869,368,766,070,784/31,725,124,062,657 - Step 6: Final answer
x = 16,616,342,832,946.51
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.