Finding the Fourth Proportional to 1,585,963,193,460.90, 2,378,941,820,897.20 and 496,943,558,673.36
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Solution
The fourth proportional to 1,585,963,193,460.90, 2,378,941,820,897.20 and 496,943,558,673.36 is: 745,414,407,615.43
Step by Step Solution
- Step 1: Write the proportion equation
1,585,963,193,460.90 : 2,378,941,820,897.20 = 496,943,558,673.36 : x - Step 2: Convert to fraction form
1,585,963,193,460.90/2,378,941,820,897.20 = 496,943,558,673.36/x - Step 3: Cross multiply
1,585,963,193,460.90x = 2,378,941,820,897.20 × 496,943,558,673.36 - Step 4: Simplify right side
1,585,963,193,460.90x = 1,182,199,814,353,537,604,780,032 - Step 5: Solve for x
x = 1,182,199,814,353,537,604,780,032/1,585,963,193,460.90 - Step 6: Final answer
x = 745,414,407,615.43
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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.