Finding the Fourth Proportional to 60,735,446,723,670, 83,813,490,855,474 and 35,736,526,013,037
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Solution
The fourth proportional to 60,735,446,723,670, 83,813,490,855,474 and 35,736,526,013,037 is: 49,315,567,066,254.66
Step by Step Solution
- Step 1: Write the proportion equation
60,735,446,723,670 : 83,813,490,855,474 = 35,736,526,013,037 : x - Step 2: Convert to fraction form
60,735,446,723,670/83,813,490,855,474 = 35,736,526,013,037/x - Step 3: Cross multiply
60,735,446,723,670x = 83,813,490,855,474 × 35,736,526,013,037 - Step 4: Simplify right side
60,735,446,723,670x = 2,995,202,996,200,085,090,929,213,440 - Step 5: Solve for x
x = 2,995,202,996,200,085,090,929,213,440/60,735,446,723,670 - Step 6: Final answer
x = 49,315,567,066,254.66
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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.