Finding the Fourth Proportional to 2,270,151,857.14, 3,132,808,177.17 and 1,227,110,321.14
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Solution
The fourth proportional to 2,270,151,857.14, 3,132,808,177.17 and 1,227,110,321.14 is: 1,693,411,494.15
Step by Step Solution
- Step 1: Write the proportion equation
2,270,151,857.14 : 3,132,808,177.17 = 1,227,110,321.14 : x - Step 2: Convert to fraction form
2,270,151,857.14/3,132,808,177.17 = 1,227,110,321.14/x - Step 3: Cross multiply
2,270,151,857.14x = 3,132,808,177.17 × 1,227,110,321.14 - Step 4: Simplify right side
2,270,151,857.14x = 3,844,301,248,357,096,960 - Step 5: Solve for x
x = 3,844,301,248,357,096,960/2,270,151,857.14 - Step 6: Final answer
x = 1,693,411,494.15
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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.