Finding the Fourth Proportional to 1,512,330,149,102.10, 2,087,021,893,678.40 and 817,870,706,879.28
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Solution
The fourth proportional to 1,512,330,149,102.10, 2,087,021,893,678.40 and 817,870,706,879.28 is: 1,128,664,976,009.84
Step by Step Solution
- Step 1: Write the proportion equation
1,512,330,149,102.10 : 2,087,021,893,678.40 = 817,870,706,879.28 : x - Step 2: Convert to fraction form
1,512,330,149,102.10/2,087,021,893,678.40 = 817,870,706,879.28/x - Step 3: Cross multiply
1,512,330,149,102.10x = 2,087,021,893,678.40 × 817,870,706,879.28 - Step 4: Simplify right side
1,512,330,149,102.10x = 1,706,914,071,455,286,459,105,280 - Step 5: Solve for x
x = 1,706,914,071,455,286,459,105,280/1,512,330,149,102.10 - Step 6: Final answer
x = 1,128,664,976,009.84
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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.