Finding the Fourth Proportional to 9,722,937,363.26, 13,417,478,658.81 and 5,493,758,450.18
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Solution
The fourth proportional to 9,722,937,363.26, 13,417,478,658.81 and 5,493,758,450.18 is: 7,581,287,835.96
Step by Step Solution
- Step 1: Write the proportion equation
9,722,937,363.26 : 13,417,478,658.81 = 5,493,758,450.18 : x - Step 2: Convert to fraction form
9,722,937,363.26/13,417,478,658.81 = 5,493,758,450.18/x - Step 3: Cross multiply
9,722,937,363.26x = 13,417,478,658.81 × 5,493,758,450.18 - Step 4: Simplify right side
9,722,937,363.26x = 73,712,386,761,880,166,400 - Step 5: Solve for x
x = 73,712,386,761,880,166,400/9,722,937,363.26 - Step 6: Final answer
x = 7,581,287,835.96
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1.5x scale
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.