Finding the Fourth Proportional to 214,056,308,347.58, 295,403,304,052.12 and 116,403,660,617.02
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Solution
The fourth proportional to 214,056,308,347.58, 295,403,304,052.12 and 116,403,660,617.02 is: 160,640,096,129.26
Step by Step Solution
- Step 1: Write the proportion equation
214,056,308,347.58 : 295,403,304,052.12 = 116,403,660,617.02 : x - Step 2: Convert to fraction form
214,056,308,347.58/295,403,304,052.12 = 116,403,660,617.02/x - Step 3: Cross multiply
214,056,308,347.58x = 295,403,304,052.12 × 116,403,660,617.02 - Step 4: Simplify right side
214,056,308,347.58x = 34,386,025,950,029,344,145,408 - Step 5: Solve for x
x = 34,386,025,950,029,344,145,408/214,056,308,347.58 - Step 6: Final answer
x = 160,640,096,129.26
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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.