Finding the Fourth Proportional to 64,938,135,726,112, 89,617,846,998,648 and 40,282,037,191,316
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Solution
The fourth proportional to 64,938,135,726,112, 89,617,846,998,648 and 40,282,037,191,316 is: 55,591,208,547,023.44
Step by Step Solution
- Step 1: Write the proportion equation
64,938,135,726,112 : 89,617,846,998,648 = 40,282,037,191,316 : x - Step 2: Convert to fraction form
64,938,135,726,112/89,617,846,998,648 = 40,282,037,191,316/x - Step 3: Cross multiply
64,938,135,726,112x = 89,617,846,998,648 × 40,282,037,191,316 - Step 4: Simplify right side
64,938,135,726,112x = 3,609,989,445,805,205,652,057,882,624 - Step 5: Solve for x
x = 3,609,989,445,805,205,652,057,882,624/64,938,135,726,112 - Step 6: Final answer
x = 55,591,208,547,023.44
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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.