Finding the Fourth Proportional to 10,415,136,726.79, 14,372,877,745.10 and 5,657,416,322.63
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Solution
The fourth proportional to 10,415,136,726.79, 14,372,877,745.10 and 5,657,416,322.63 is: 7,807,228,583.87
Step by Step Solution
- Step 1: Write the proportion equation
10,415,136,726.79 : 14,372,877,745.10 = 5,657,416,322.63 : x - Step 2: Convert to fraction form
10,415,136,726.79/14,372,877,745.10 = 5,657,416,322.63/x - Step 3: Cross multiply
10,415,136,726.79x = 14,372,877,745.10 × 5,657,416,322.63 - Step 4: Simplify right side
10,415,136,726.79x = 81,313,353,158,294,208,512 - Step 5: Solve for x
x = 81,313,353,158,294,208,512/10,415,136,726.79 - Step 6: Final answer
x = 7,807,228,583.87
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1.5x scale
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.