Finding the Fourth Proportional to 1,518,809,760,865.10, 2,095,959,021,191.50 and 824,350,461,845.70
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Solution
The fourth proportional to 1,518,809,760,865.10, 2,095,959,021,191.50 and 824,350,461,845.70 is: 1,137,604,479,276.41
Step by Step Solution
- Step 1: Write the proportion equation
1,518,809,760,865.10 : 2,095,959,021,191.50 = 824,350,461,845.70 : x - Step 2: Convert to fraction form
1,518,809,760,865.10/2,095,959,021,191.50 = 824,350,461,845.70/x - Step 3: Cross multiply
1,518,809,760,865.10x = 2,095,959,021,191.50 × 824,350,461,845.70 - Step 4: Simplify right side
1,518,809,760,865.10x = 1,727,804,787,128,874,290,905,088 - Step 5: Solve for x
x = 1,727,804,787,128,874,290,905,088/1,518,809,760,865.10 - Step 6: Final answer
x = 1,137,604,479,276.41
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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.