Finding the Fourth Proportional to 701,894,731,968, 968,614,730,115.84 and 401,498,769,600
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Solution
The fourth proportional to 701,894,731,968, 968,614,730,115.84 and 401,498,769,600 is: 554,068,302,048
Step by Step Solution
- Step 1: Write the proportion equation
701,894,731,968 : 968,614,730,115.84 = 401,498,769,600 : x - Step 2: Convert to fraction form
701,894,731,968/968,614,730,115.84 = 401,498,769,600/x - Step 3: Cross multiply
701,894,731,968x = 968,614,730,115.84 × 401,498,769,600 - Step 4: Simplify right side
701,894,731,968x = 388,897,622,357,945,826,148,352 - Step 5: Solve for x
x = 388,897,622,357,945,826,148,352/701,894,731,968 - Step 6: Final answer
x = 554,068,302,048
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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.