Finding the Fourth Proportional to 16,051,177,517,385, 24,066,912,781,588 and 6,237,792,128,998.40
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Solution
The fourth proportional to 16,051,177,517,385, 24,066,912,781,588 and 6,237,792,128,998.40 is: 9,352,858,938,584.49
Step by Step Solution
- Step 1: Write the proportion equation
16,051,177,517,385 : 24,066,912,781,588 = 6,237,792,128,998.40 : x - Step 2: Convert to fraction form
16,051,177,517,385/24,066,912,781,588 = 6,237,792,128,998.40/x - Step 3: Cross multiply
16,051,177,517,385x = 24,066,912,781,588 × 6,237,792,128,998.40 - Step 4: Simplify right side
16,051,177,517,385x = 150,124,399,118,280,624,508,502,016 - Step 5: Solve for x
x = 150,124,399,118,280,624,508,502,016/16,051,177,517,385 - Step 6: Final answer
x = 9,352,858,938,584.49
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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.