Finding the Fourth Proportional to 46,909,532,212,948, 64,735,165,020,440 and 25,815,326,656,302
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Solution
The fourth proportional to 46,909,532,212,948, 64,735,165,020,440 and 25,815,326,656,302 is: 35,625,156,600,708.95
Step by Step Solution
- Step 1: Write the proportion equation
46,909,532,212,948 : 64,735,165,020,440 = 25,815,326,656,302 : x - Step 2: Convert to fraction form
46,909,532,212,948/64,735,165,020,440 = 25,815,326,656,302/x - Step 3: Cross multiply
46,909,532,212,948x = 64,735,165,020,440 × 25,815,326,656,302 - Step 4: Simplify right side
46,909,532,212,948x = 1,671,159,431,152,273,624,521,506,816 - Step 5: Solve for x
x = 1,671,159,431,152,273,624,521,506,816/46,909,532,212,948 - Step 6: Final answer
x = 35,625,156,600,708.95
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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.