Finding the Fourth Proportional to 611,409,811,469.24, 843,748,088,331.84 and 337,049,436,648.08
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Solution
The fourth proportional to 611,409,811,469.24, 843,748,088,331.84 and 337,049,436,648.08 is: 465,129,627,478.10
Step by Step Solution
- Step 1: Write the proportion equation
611,409,811,469.24 : 843,748,088,331.84 = 337,049,436,648.08 : x - Step 2: Convert to fraction form
611,409,811,469.24/843,748,088,331.84 = 337,049,436,648.08/x - Step 3: Cross multiply
611,409,811,469.24x = 843,748,088,331.84 × 337,049,436,648.08 - Step 4: Simplify right side
611,409,811,469.24x = 284,384,817,845,141,132,804,096 - Step 5: Solve for x
x = 284,384,817,845,141,132,804,096/611,409,811,469.24 - Step 6: Final answer
x = 465,129,627,478.10
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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.