Finding the Fourth Proportional to 2,564,242,943,227, 3,846,488,120,742.60 and 843,153,178,239.98
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Solution
The fourth proportional to 2,564,242,943,227, 3,846,488,120,742.60 and 843,153,178,239.98 is: 1,264,770,443,312.61
Step by Step Solution
- Step 1: Write the proportion equation
2,564,242,943,227 : 3,846,488,120,742.60 = 843,153,178,239.98 : x - Step 2: Convert to fraction form
2,564,242,943,227/3,846,488,120,742.60 = 843,153,178,239.98/x - Step 3: Cross multiply
2,564,242,943,227x = 3,846,488,120,742.60 × 843,153,178,239.98 - Step 4: Simplify right side
2,564,242,943,227x = 3,243,178,684,066,451,284,819,968 - Step 5: Solve for x
x = 3,243,178,684,066,451,284,819,968/2,564,242,943,227 - Step 6: Final answer
x = 1,264,770,443,312.61
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.