Finding the Fourth Proportional to 950,507,397,116.29, 1,426,347,538,473.30 and 440,471,096,584.09
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Solution
The fourth proportional to 950,507,397,116.29, 1,426,347,538,473.30 and 440,471,096,584.09 is: 660,978,406,151.73
Step by Step Solution
- Step 1: Write the proportion equation
950,507,397,116.29 : 1,426,347,538,473.30 = 440,471,096,584.09 : x - Step 2: Convert to fraction form
950,507,397,116.29/1,426,347,538,473.30 = 440,471,096,584.09/x - Step 3: Cross multiply
950,507,397,116.29x = 1,426,347,538,473.30 × 440,471,096,584.09 - Step 4: Simplify right side
950,507,397,116.29x = 628,264,864,381,352,066,154,496 - Step 5: Solve for x
x = 628,264,864,381,352,066,154,496/950,507,397,116.29 - Step 6: Final answer
x = 660,978,406,151.73
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.