Finding the Fourth Proportional to 204,518,748,386.05, 282,244,589,124.29 and 114,298,199,352.96
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Solution
The fourth proportional to 204,518,748,386.05, 282,244,589,124.29 and 114,298,199,352.96 is: 157,736,386,363.60
Step by Step Solution
- Step 1: Write the proportion equation
204,518,748,386.05 : 282,244,589,124.29 = 114,298,199,352.96 : x - Step 2: Convert to fraction form
204,518,748,386.05/282,244,589,124.29 = 114,298,199,352.96/x - Step 3: Cross multiply
204,518,748,386.05x = 282,244,589,124.29 × 114,298,199,352.96 - Step 4: Simplify right side
204,518,748,386.05x = 32,260,048,314,022,385,156,096 - Step 5: Solve for x
x = 32,260,048,314,022,385,156,096/204,518,748,386.05 - Step 6: Final answer
x = 157,736,386,363.60
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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.