Finding the Fourth Proportional to 40,926,446,537,775, 61,389,133,579,224 and 9,947,426,645,850
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Solution
The fourth proportional to 40,926,446,537,775, 61,389,133,579,224 and 9,947,426,645,850 is: 14,921,009,635,370.53
Step by Step Solution
- Step 1: Write the proportion equation
40,926,446,537,775 : 61,389,133,579,224 = 9,947,426,645,850 : x - Step 2: Convert to fraction form
40,926,446,537,775/61,389,133,579,224 = 9,947,426,645,850/x - Step 3: Cross multiply
40,926,446,537,775x = 61,389,133,579,224 × 9,947,426,645,850 - Step 4: Simplify right side
40,926,446,537,775x = 610,663,903,131,617,792,563,871,744 - Step 5: Solve for x
x = 610,663,903,131,617,792,563,871,744/40,926,446,537,775 - Step 6: Final answer
x = 14,921,009,635,370.53
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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.