Finding the Fourth Proportional to 614,049,854,074.12, 847,601,830,963.38 and 421,997,777,461
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Solution
The fourth proportional to 614,049,854,074.12, 847,601,830,963.38 and 421,997,777,461 is: 582,503,336,602.45
Step by Step Solution
- Step 1: Write the proportion equation
614,049,854,074.12 : 847,601,830,963.38 = 421,997,777,461 : x - Step 2: Convert to fraction form
614,049,854,074.12/847,601,830,963.38 = 421,997,777,461/x - Step 3: Cross multiply
614,049,854,074.12x = 847,601,830,963.38 × 421,997,777,461 - Step 4: Simplify right side
614,049,854,074.12x = 357,686,088,838,420,577,124,352 - Step 5: Solve for x
x = 357,686,088,838,420,577,124,352/614,049,854,074.12 - Step 6: Final answer
x = 582,503,336,602.45
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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.