Finding the Fourth Proportional to 1,218,153,777,983, 1,827,291,360,198.50 and 463,595,840,961.95
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Solution
The fourth proportional to 1,218,153,777,983, 1,827,291,360,198.50 and 463,595,840,961.95 is: 695,416,859,615.53
Step by Step Solution
- Step 1: Write the proportion equation
1,218,153,777,983 : 1,827,291,360,198.50 = 463,595,840,961.95 : x - Step 2: Convert to fraction form
1,218,153,777,983/1,827,291,360,198.50 = 463,595,840,961.95/x - Step 3: Cross multiply
1,218,153,777,983x = 1,827,291,360,198.50 × 463,595,840,961.95 - Step 4: Simplify right side
1,218,153,777,983x = 847,124,674,813,729,160,822,784 - Step 5: Solve for x
x = 847,124,674,813,729,160,822,784/1,218,153,777,983 - Step 6: Final answer
x = 695,416,859,615.53
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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.