Finding the Fourth Proportional to 99,403,642,219.84, 137,177,445,199.95 and 56,000,447,868.87
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Solution
The fourth proportional to 99,403,642,219.84, 137,177,445,199.95 and 56,000,447,868.87 is: 77,280,854,072.89
Step by Step Solution
- Step 1: Write the proportion equation
99,403,642,219.84 : 137,177,445,199.95 = 56,000,447,868.87 : x - Step 2: Convert to fraction form
99,403,642,219.84/137,177,445,199.95 = 56,000,447,868.87/x - Step 3: Cross multiply
99,403,642,219.84x = 137,177,445,199.95 × 56,000,447,868.87 - Step 4: Simplify right side
99,403,642,219.84x = 7,681,998,368,704,571,637,760 - Step 5: Solve for x
x = 7,681,998,368,704,571,637,760/99,403,642,219.84 - Step 6: Final answer
x = 77,280,854,072.89
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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.