Finding the Fourth Proportional to 1,926,245,577,800.40, 2,889,302,927,680.20 and 493,667,538,971.28
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Solution
The fourth proportional to 1,926,245,577,800.40, 2,889,302,927,680.20 and 493,667,538,971.28 is: 740,484,537,428.07
Step by Step Solution
- Step 1: Write the proportion equation
1,926,245,577,800.40 : 2,889,302,927,680.20 = 493,667,538,971.28 : x - Step 2: Convert to fraction form
1,926,245,577,800.40/2,889,302,927,680.20 = 493,667,538,971.28/x - Step 3: Cross multiply
1,926,245,577,800.40x = 2,889,302,927,680.20 × 493,667,538,971.28 - Step 4: Simplify right side
1,926,245,577,800.40x = 1,426,355,065,650,398,753,718,272 - Step 5: Solve for x
x = 1,426,355,065,650,398,753,718,272/1,926,245,577,800.40 - Step 6: Final answer
x = 740,484,537,428.07
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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.