Finding the Fourth Proportional to 2,606,085,122,940, 3,596,398,056,689.10 and 1,434,184,814,237.20
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Solution
The fourth proportional to 2,606,085,122,940, 3,596,398,056,689.10 and 1,434,184,814,237.20 is: 1,979,175,366,703.64
Step by Step Solution
- Step 1: Write the proportion equation
2,606,085,122,940 : 3,596,398,056,689.10 = 1,434,184,814,237.20 : x - Step 2: Convert to fraction form
2,606,085,122,940/3,596,398,056,689.10 = 1,434,184,814,237.20/x - Step 3: Cross multiply
2,606,085,122,940x = 3,596,398,056,689.10 × 1,434,184,814,237.20 - Step 4: Simplify right side
2,606,085,122,940x = 5,157,899,478,855,683,449,815,040 - Step 5: Solve for x
x = 5,157,899,478,855,683,449,815,040/2,606,085,122,940 - Step 6: Final answer
x = 1,979,175,366,703.64
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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.