Finding the Fourth Proportional to 1,203,638,753,563.90, 1,660,971,348,651.90 and 654,932,213,325.36
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Solution
The fourth proportional to 1,203,638,753,563.90, 1,660,971,348,651.90 and 654,932,213,325.36 is: 903,779,176,618.91
Step by Step Solution
- Step 1: Write the proportion equation
1,203,638,753,563.90 : 1,660,971,348,651.90 = 654,932,213,325.36 : x - Step 2: Convert to fraction form
1,203,638,753,563.90/1,660,971,348,651.90 = 654,932,213,325.36/x - Step 3: Cross multiply
1,203,638,753,563.90x = 1,660,971,348,651.90 × 654,932,213,325.36 - Step 4: Simplify right side
1,203,638,753,563.90x = 1,087,823,641,642,597,020,073,984 - Step 5: Solve for x
x = 1,087,823,641,642,597,020,073,984/1,203,638,753,563.90 - Step 6: Final answer
x = 903,779,176,618.91
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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.