Finding the Fourth Proportional to 1,998,754,920,437, 2,758,281,790,203.20 and 1,143,330,480,724.80
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Solution
The fourth proportional to 1,998,754,920,437, 2,758,281,790,203.20 and 1,143,330,480,724.80 is: 1,577,796,063,400.30
Step by Step Solution
- Step 1: Write the proportion equation
1,998,754,920,437 : 2,758,281,790,203.20 = 1,143,330,480,724.80 : x - Step 2: Convert to fraction form
1,998,754,920,437/2,758,281,790,203.20 = 1,143,330,480,724.80/x - Step 3: Cross multiply
1,998,754,920,437x = 2,758,281,790,203.20 × 1,143,330,480,724.80 - Step 4: Simplify right side
1,998,754,920,437x = 3,153,627,645,167,486,768,250,880 - Step 5: Solve for x
x = 3,153,627,645,167,486,768,250,880/1,998,754,920,437 - Step 6: Final answer
x = 1,577,796,063,400.30
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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.