Finding the Fourth Proportional to 269,583,989,484.84, 372,037,599,848.10 and 149,289,927,650.28
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Solution
The fourth proportional to 269,583,989,484.84, 372,037,599,848.10 and 149,289,927,650.28 is: 206,026,576,246.77
Step by Step Solution
- Step 1: Write the proportion equation
269,583,989,484.84 : 372,037,599,848.10 = 149,289,927,650.28 : x - Step 2: Convert to fraction form
269,583,989,484.84/372,037,599,848.10 = 149,289,927,650.28/x - Step 3: Cross multiply
269,583,989,484.84x = 372,037,599,848.10 × 149,289,927,650.28 - Step 4: Simplify right side
269,583,989,484.84x = 55,541,466,364,506,668,007,424 - Step 5: Solve for x
x = 55,541,466,364,506,668,007,424/269,583,989,484.84 - Step 6: Final answer
x = 206,026,576,246.77
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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.