Finding the Fourth Proportional to 4,898,961,019,320, 6,760,566,868,408.60 and 2,704,126,653,246.30
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Solution
The fourth proportional to 4,898,961,019,320, 6,760,566,868,408.60 and 2,704,126,653,246.30 is: 3,731,695,146,750.75
Step by Step Solution
- Step 1: Write the proportion equation
4,898,961,019,320 : 6,760,566,868,408.60 = 2,704,126,653,246.30 : x - Step 2: Convert to fraction form
4,898,961,019,320/6,760,566,868,408.60 = 2,704,126,653,246.30/x - Step 3: Cross multiply
4,898,961,019,320x = 6,760,566,868,408.60 × 2,704,126,653,246.30 - Step 4: Simplify right side
4,898,961,019,320x = 18,281,429,059,917,563,190,837,248 - Step 5: Solve for x
x = 18,281,429,059,917,563,190,837,248/4,898,961,019,320 - Step 6: Final answer
x = 3,731,695,146,750.75
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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.