Finding the Fourth Proportional to 24,797,539,196.84, 34,219,618,428 and 14,639,539,254.14
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Solution
The fourth proportional to 24,797,539,196.84, 34,219,618,428 and 14,639,539,254.14 is: 20,201,982,271.78
Step by Step Solution
- Step 1: Write the proportion equation
24,797,539,196.84 : 34,219,618,428 = 14,639,539,254.14 : x - Step 2: Convert to fraction form
24,797,539,196.84/34,219,618,428 = 14,639,539,254.14/x - Step 3: Cross multiply
24,797,539,196.84x = 34,219,618,428 × 14,639,539,254.14 - Step 4: Simplify right side
24,797,539,196.84x = 500,959,447,238,398,509,056 - Step 5: Solve for x
x = 500,959,447,238,398,509,056/24,797,539,196.84 - Step 6: Final answer
x = 20,201,982,271.78
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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.