Finding the Fourth Proportional to 2,031,413,872,004, 2,803,351,600,948 and 1,117,930,839,948
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Solution
The fourth proportional to 2,031,413,872,004, 2,803,351,600,948 and 1,117,930,839,948 is: 1,542,744,810,945.74
Step by Step Solution
- Step 1: Write the proportion equation
2,031,413,872,004 : 2,803,351,600,948 = 1,117,930,839,948 : x - Step 2: Convert to fraction form
2,031,413,872,004/2,803,351,600,948 = 1,117,930,839,948/x - Step 3: Cross multiply
2,031,413,872,004x = 2,803,351,600,948 × 1,117,930,839,948 - Step 4: Simplify right side
2,031,413,872,004x = 3,133,953,209,917,368,147,378,176 - Step 5: Solve for x
x = 3,133,953,209,917,368,147,378,176/2,031,413,872,004 - Step 6: Final answer
x = 1,542,744,810,945.74
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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.