Finding the Fourth Proportional to 213,016,534,292.35, 293,962,975,809.97 and 115,358,933,303.91
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Solution
The fourth proportional to 213,016,534,292.35, 293,962,975,809.97 and 115,358,933,303.91 is: 159,195,413,787.65
Step by Step Solution
- Step 1: Write the proportion equation
213,016,534,292.35 : 293,962,975,809.97 = 115,358,933,303.91 : x - Step 2: Convert to fraction form
213,016,534,292.35/293,962,975,809.97 = 115,358,933,303.91/x - Step 3: Cross multiply
213,016,534,292.35x = 293,962,975,809.97 × 115,358,933,303.91 - Step 4: Simplify right side
213,016,534,292.35x = 33,911,255,320,281,235,849,216 - Step 5: Solve for x
x = 33,911,255,320,281,235,849,216/213,016,534,292.35 - Step 6: Final answer
x = 159,195,413,787.65
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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.