Finding the Fourth Proportional to 191,347,684,468.10, 286,955,059,376.28 and 106,486,980,097.58
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Solution
The fourth proportional to 191,347,684,468.10, 286,955,059,376.28 and 106,486,980,097.58 is: 159,693,480,386.99
Step by Step Solution
- Step 1: Write the proportion equation
191,347,684,468.10 : 286,955,059,376.28 = 106,486,980,097.58 : x - Step 2: Convert to fraction form
191,347,684,468.10/286,955,059,376.28 = 106,486,980,097.58/x - Step 3: Cross multiply
191,347,684,468.10x = 286,955,059,376.28 × 106,486,980,097.58 - Step 4: Simplify right side
191,347,684,468.10x = 30,556,977,696,701,820,174,336 - Step 5: Solve for x
x = 30,556,977,696,701,820,174,336/191,347,684,468.10 - Step 6: Final answer
x = 159,693,480,386.99
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1.5x scale
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.