Finding the Fourth Proportional to 1,780,312,772.72, 2,456,506,774.68 and 1,027,351,256.96
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Solution
The fourth proportional to 1,780,312,772.72, 2,456,506,774.68 and 1,027,351,256.96 is: 1,417,557,274.97
Step by Step Solution
- Step 1: Write the proportion equation
1,780,312,772.72 : 2,456,506,774.68 = 1,027,351,256.96 : x - Step 2: Convert to fraction form
1,780,312,772.72/2,456,506,774.68 = 1,027,351,256.96/x - Step 3: Cross multiply
1,780,312,772.72x = 2,456,506,774.68 × 1,027,351,256.96 - Step 4: Simplify right side
1,780,312,772.72x = 2,523,695,322,698,253,312 - Step 5: Solve for x
x = 2,523,695,322,698,253,312/1,780,312,772.72 - Step 6: Final answer
x = 1,417,557,274.97
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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.