Finding the Fourth Proportional to 40,896,889,640,924, 56,439,481,782,080 and 22,647,834,927,069
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Solution
The fourth proportional to 40,896,889,640,924, 56,439,481,782,080 and 22,647,834,927,069 is: 31,254,994,646,115.74
Step by Step Solution
- Step 1: Write the proportion equation
40,896,889,640,924 : 56,439,481,782,080 = 22,647,834,927,069 : x - Step 2: Convert to fraction form
40,896,889,640,924/56,439,481,782,080 = 22,647,834,927,069/x - Step 3: Cross multiply
40,896,889,640,924x = 56,439,481,782,080 × 22,647,834,927,069 - Step 4: Simplify right side
40,896,889,640,924x = 1,278,232,066,769,866,030,242,070,528 - Step 5: Solve for x
x = 1,278,232,066,769,866,030,242,070,528/40,896,889,640,924 - Step 6: Final answer
x = 31,254,994,646,115.74
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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.