Finding the Fourth Proportional to 99,403,642,224.94, 137,177,445,207 and 56,000,447,873.98
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Solution
The fourth proportional to 99,403,642,224.94, 137,177,445,207 and 56,000,447,873.98 is: 77,280,854,079.94
Step by Step Solution
- Step 1: Write the proportion equation
99,403,642,224.94 : 137,177,445,207 = 56,000,447,873.98 : x - Step 2: Convert to fraction form
99,403,642,224.94/137,177,445,207 = 56,000,447,873.98/x - Step 3: Cross multiply
99,403,642,224.94x = 137,177,445,207 × 56,000,447,873.98 - Step 4: Simplify right side
99,403,642,224.94x = 7,681,998,369,800,351,383,552 - Step 5: Solve for x
x = 7,681,998,369,800,351,383,552/99,403,642,224.94 - Step 6: Final answer
x = 77,280,854,079.94
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1.5x scale
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.