Finding the Fourth Proportional to 609,473,322,563.18, 913,606,116,194.59 and 286,197,440,492.29
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Solution
The fourth proportional to 609,473,322,563.18, 913,606,116,194.59 and 286,197,440,492.29 is: 429,012,595,618.39
Step by Step Solution
- Step 1: Write the proportion equation
609,473,322,563.18 : 913,606,116,194.59 = 286,197,440,492.29 : x - Step 2: Convert to fraction form
609,473,322,563.18/913,606,116,194.59 = 286,197,440,492.29/x - Step 3: Cross multiply
609,473,322,563.18x = 913,606,116,194.59 × 286,197,440,492.29 - Step 4: Simplify right side
609,473,322,563.18x = 261,471,732,072,993,309,851,648 - Step 5: Solve for x
x = 261,471,732,072,993,309,851,648/609,473,322,563.18 - Step 6: Final answer
x = 429,012,595,618.39
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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.