Finding the Fourth Proportional to 192,565,295,994.36, 287,551,249,432.72 and 157,262,733,250.68
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Solution
The fourth proportional to 192,565,295,994.36, 287,551,249,432.72 and 157,262,733,250.68 is: 234,835,125,415.13
Step by Step Solution
- Step 1: Write the proportion equation
192,565,295,994.36 : 287,551,249,432.72 = 157,262,733,250.68 : x - Step 2: Convert to fraction form
192,565,295,994.36/287,551,249,432.72 = 157,262,733,250.68/x - Step 3: Cross multiply
192,565,295,994.36x = 287,551,249,432.72 × 157,262,733,250.68 - Step 4: Simplify right side
192,565,295,994.36x = 45,221,095,435,437,590,183,936 - Step 5: Solve for x
x = 45,221,095,435,437,590,183,936/192,565,295,994.36 - Step 6: Final answer
x = 234,835,125,415.13
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.