Finding the Fourth Proportional to 2,138,641,643,515, 3,209,281,961,569.70 and 991,059,967,317.42
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Solution
The fourth proportional to 2,138,641,643,515, 3,209,281,961,569.70 and 991,059,967,317.42 is: 1,487,201,413,846.10
Step by Step Solution
- Step 1: Write the proportion equation
2,138,641,643,515 : 3,209,281,961,569.70 = 991,059,967,317.42 : x - Step 2: Convert to fraction form
2,138,641,643,515/3,209,281,961,569.70 = 991,059,967,317.42/x - Step 3: Cross multiply
2,138,641,643,515x = 3,209,281,961,569.70 × 991,059,967,317.42 - Step 4: Simplify right side
2,138,641,643,515x = 3,180,590,875,945,652,906,360,832 - Step 5: Solve for x
x = 3,180,590,875,945,652,906,360,832/2,138,641,643,515 - Step 6: Final answer
x = 1,487,201,413,846.10
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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.