Finding the Fourth Proportional to 1,697,642,646,455.70, 2,342,952,289,554.80 and 966,208,897,772.46
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Solution
The fourth proportional to 1,697,642,646,455.70, 2,342,952,289,554.80 and 966,208,897,772.46 is: 1,333,485,203,114.14
Step by Step Solution
- Step 1: Write the proportion equation
1,697,642,646,455.70 : 2,342,952,289,554.80 = 966,208,897,772.46 : x - Step 2: Convert to fraction form
1,697,642,646,455.70/2,342,952,289,554.80 = 966,208,897,772.46/x - Step 3: Cross multiply
1,697,642,646,455.70x = 2,342,952,289,554.80 × 966,208,897,772.46 - Step 4: Simplify right side
1,697,642,646,455.70x = 2,263,781,349,224,204,690,522,112 - Step 5: Solve for x
x = 2,263,781,349,224,204,690,522,112/1,697,642,646,455.70 - Step 6: Final answer
x = 1,333,485,203,114.14
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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.