Finding the Fourth Proportional to 76,426,231,201.74, 105,468,517,620.84 and 42,131,184,349.13
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Solution
The fourth proportional to 76,426,231,201.74, 105,468,517,620.84 and 42,131,184,349.13 is: 58,141,210,014.45
Step by Step Solution
- Step 1: Write the proportion equation
76,426,231,201.74 : 105,468,517,620.84 = 42,131,184,349.13 : x - Step 2: Convert to fraction form
76,426,231,201.74/105,468,517,620.84 = 42,131,184,349.13/x - Step 3: Cross multiply
76,426,231,201.74x = 105,468,517,620.84 × 42,131,184,349.13 - Step 4: Simplify right side
76,426,231,201.74x = 4,443,513,558,913,075,642,368 - Step 5: Solve for x
x = 4,443,513,558,913,075,642,368/76,426,231,201.74 - Step 6: Final answer
x = 58,141,210,014.45
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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.