Finding the Fourth Proportional to 1,462,613,546,069.40, 2,018,411,409,928.30 and 812,292,129,693.75
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Solution
The fourth proportional to 1,462,613,546,069.40, 2,018,411,409,928.30 and 812,292,129,693.75 is: 1,120,965,758,299.51
Step by Step Solution
- Step 1: Write the proportion equation
1,462,613,546,069.40 : 2,018,411,409,928.30 = 812,292,129,693.75 : x - Step 2: Convert to fraction form
1,462,613,546,069.40/2,018,411,409,928.30 = 812,292,129,693.75/x - Step 3: Cross multiply
1,462,613,546,069.40x = 2,018,411,409,928.30 × 812,292,129,693.75 - Step 4: Simplify right side
1,462,613,546,069.40x = 1,639,539,702,768,823,401,709,568 - Step 5: Solve for x
x = 1,639,539,702,768,823,401,709,568/1,462,613,546,069.40 - Step 6: Final answer
x = 1,120,965,758,299.51
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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.