Finding the Fourth Proportional to 97,404,906,971.36, 134,371,005,189.36 and 84,526,471,476.68
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Solution
The fourth proportional to 97,404,906,971.36, 134,371,005,189.36 and 84,526,471,476.68 is: 116,605,079,667.81
Step by Step Solution
- Step 1: Write the proportion equation
97,404,906,971.36 : 134,371,005,189.36 = 84,526,471,476.68 : x - Step 2: Convert to fraction form
97,404,906,971.36/134,371,005,189.36 = 84,526,471,476.68/x - Step 3: Cross multiply
97,404,906,971.36x = 134,371,005,189.36 × 84,526,471,476.68 - Step 4: Simplify right side
97,404,906,971.36x = 11,357,906,937,430,587,473,920 - Step 5: Solve for x
x = 11,357,906,937,430,587,473,920/97,404,906,971.36 - Step 6: Final answer
x = 116,605,079,667.81
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.