Finding the Fourth Proportional to 51,202,014,653,732, 70,658,832,516,022 and 27,790,448,490,908
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Solution
The fourth proportional to 51,202,014,653,732, 70,658,832,516,022 and 27,790,448,490,908 is: 38,350,847,300,518.86
Step by Step Solution
- Step 1: Write the proportion equation
51,202,014,653,732 : 70,658,832,516,022 = 27,790,448,490,908 : x - Step 2: Convert to fraction form
51,202,014,653,732/70,658,832,516,022 = 27,790,448,490,908/x - Step 3: Cross multiply
51,202,014,653,732x = 70,658,832,516,022 × 27,790,448,490,908 - Step 4: Simplify right side
51,202,014,653,732x = 1,963,640,645,464,204,794,748,993,536 - Step 5: Solve for x
x = 1,963,640,645,464,204,794,748,993,536/51,202,014,653,732 - Step 6: Final answer
x = 38,350,847,300,518.86
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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.