Finding the Fourth Proportional to 3,109,201,502,521, 4,664,438,340,663.50 and 1,069,171,629,953.80
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Solution
The fourth proportional to 3,109,201,502,521, 4,664,438,340,663.50 and 1,069,171,629,953.80 is: 1,603,976,178,276.82
Step by Step Solution
- Step 1: Write the proportion equation
3,109,201,502,521 : 4,664,438,340,663.50 = 1,069,171,629,953.80 : x - Step 2: Convert to fraction form
3,109,201,502,521/4,664,438,340,663.50 = 1,069,171,629,953.80/x - Step 3: Cross multiply
3,109,201,502,521x = 4,664,438,340,663.50 × 1,069,171,629,953.80 - Step 4: Simplify right side
3,109,201,502,521x = 4,987,085,143,506,193,202,806,784 - Step 5: Solve for x
x = 4,987,085,143,506,193,202,806,784/3,109,201,502,521 - Step 6: Final answer
x = 1,603,976,178,276.82
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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.