Finding the Fourth Proportional to 911,768,548,718.02, 1,367,604,655,185.50 and 299,067,401,581.14
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Solution
The fourth proportional to 911,768,548,718.02, 1,367,604,655,185.50 and 299,067,401,581.14 is: 448,585,302,916.71
Step by Step Solution
- Step 1: Write the proportion equation
911,768,548,718.02 : 1,367,604,655,185.50 = 299,067,401,581.14 : x - Step 2: Convert to fraction form
911,768,548,718.02/1,367,604,655,185.50 = 299,067,401,581.14/x - Step 3: Cross multiply
911,768,548,718.02x = 1,367,604,655,185.50 × 299,067,401,581.14 - Step 4: Simplify right side
911,768,548,718.02x = 409,005,970,616,598,478,716,928 - Step 5: Solve for x
x = 409,005,970,616,598,478,716,928/911,768,548,718.02 - Step 6: Final answer
x = 448,585,302,916.71
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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.