Finding the Fourth Proportional to 276,432,633,109.52, 414,648,949,664.28 and 77,685,922,252.53
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Solution
The fourth proportional to 276,432,633,109.52, 414,648,949,664.28 and 77,685,922,252.53 is: 116,528,883,378.80
Step by Step Solution
- Step 1: Write the proportion equation
276,432,633,109.52 : 414,648,949,664.28 = 77,685,922,252.53 : x - Step 2: Convert to fraction form
276,432,633,109.52/414,648,949,664.28 = 77,685,922,252.53/x - Step 3: Cross multiply
276,432,633,109.52x = 414,648,949,664.28 × 77,685,922,252.53 - Step 4: Simplify right side
276,432,633,109.52x = 32,212,386,065,712,481,828,864 - Step 5: Solve for x
x = 32,212,386,065,712,481,828,864/276,432,633,109.52 - Step 6: Final answer
x = 116,528,883,378.80
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.