Finding the Fourth Proportional to 1,462,613,546,067.90, 2,018,411,409,926.10 and 812,292,129,692.19
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Solution
The fourth proportional to 1,462,613,546,067.90, 2,018,411,409,926.10 and 812,292,129,692.19 is: 1,120,965,758,297.29
Step by Step Solution
- Step 1: Write the proportion equation
1,462,613,546,067.90 : 2,018,411,409,926.10 = 812,292,129,692.19 : x - Step 2: Convert to fraction form
1,462,613,546,067.90/2,018,411,409,926.10 = 812,292,129,692.19/x - Step 3: Cross multiply
1,462,613,546,067.90x = 2,018,411,409,926.10 × 812,292,129,692.19 - Step 4: Simplify right side
1,462,613,546,067.90x = 1,639,539,702,763,887,678,980,096 - Step 5: Solve for x
x = 1,639,539,702,763,887,678,980,096/1,462,613,546,067.90 - Step 6: Final answer
x = 1,120,965,758,297.29
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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.