Finding the Fourth Proportional to 6,242,916,187,866, 8,614,525,617,392.80 and 3,465,195,494,688.40
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Solution
The fourth proportional to 6,242,916,187,866, 8,614,525,617,392.80 and 3,465,195,494,688.40 is: 4,781,581,949,840.53
Step by Step Solution
- Step 1: Write the proportion equation
6,242,916,187,866 : 8,614,525,617,392.80 = 3,465,195,494,688.40 : x - Step 2: Convert to fraction form
6,242,916,187,866/8,614,525,617,392.80 = 3,465,195,494,688.40/x - Step 3: Cross multiply
6,242,916,187,866x = 8,614,525,617,392.80 × 3,465,195,494,688.40 - Step 4: Simplify right side
6,242,916,187,866x = 29,851,015,358,267,337,968,975,872 - Step 5: Solve for x
x = 29,851,015,358,267,337,968,975,872/6,242,916,187,866 - Step 6: Final answer
x = 4,781,581,949,840.53
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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.