Finding the Fourth Proportional to 358,731,494,648.35, 538,097,759,858.35 and 146,495,627,146.68
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Solution
The fourth proportional to 358,731,494,648.35, 538,097,759,858.35 and 146,495,627,146.68 is: 219,743,652,209.70
Step by Step Solution
- Step 1: Write the proportion equation
358,731,494,648.35 : 538,097,759,858.35 = 146,495,627,146.68 : x - Step 2: Convert to fraction form
358,731,494,648.35/538,097,759,858.35 = 146,495,627,146.68/x - Step 3: Cross multiply
358,731,494,648.35x = 538,097,759,858.35 × 146,495,627,146.68 - Step 4: Simplify right side
358,731,494,648.35x = 78,828,968,796,672,581,697,536 - Step 5: Solve for x
x = 78,828,968,796,672,581,697,536/358,731,494,648.35 - Step 6: Final answer
x = 219,743,652,209.70
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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.