Finding the Fourth Proportional to 5,009,873,058.81, 6,913,435,415.31 and 2,782,348,736.13
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Solution
The fourth proportional to 5,009,873,058.81, 6,913,435,415.31 and 2,782,348,736.13 is: 3,839,536,064.95
Step by Step Solution
- Step 1: Write the proportion equation
5,009,873,058.81 : 6,913,435,415.31 = 2,782,348,736.13 : x - Step 2: Convert to fraction form
5,009,873,058.81/6,913,435,415.31 = 2,782,348,736.13/x - Step 3: Cross multiply
5,009,873,058.81x = 6,913,435,415.31 × 2,782,348,736.13 - Step 4: Simplify right side
5,009,873,058.81x = 19,235,588,290,104,160,256 - Step 5: Solve for x
x = 19,235,588,290,104,160,256/5,009,873,058.81 - Step 6: Final answer
x = 3,839,536,064.95
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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.