Finding the Fourth Proportional to 159,982,065,709.06, 239,805,114,712.68 and 53,827,277,827.26
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Solution
The fourth proportional to 159,982,065,709.06, 239,805,114,712.68 and 53,827,277,827.26 is: 80,684,397,196.82
Step by Step Solution
- Step 1: Write the proportion equation
159,982,065,709.06 : 239,805,114,712.68 = 53,827,277,827.26 : x - Step 2: Convert to fraction form
159,982,065,709.06/239,805,114,712.68 = 53,827,277,827.26/x - Step 3: Cross multiply
159,982,065,709.06x = 239,805,114,712.68 × 53,827,277,827.26 - Step 4: Simplify right side
159,982,065,709.06x = 12,908,056,534,037,380,988,928 - Step 5: Solve for x
x = 12,908,056,534,037,380,988,928/159,982,065,709.06 - Step 6: Final answer
x = 80,684,397,196.82
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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.