Finding the Fourth Proportional to 18,234,220,168,132, 25,163,223,832,028 and 10,430,363,171,626
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Solution
The fourth proportional to 18,234,220,168,132, 25,163,223,832,028 and 10,430,363,171,626 is: 14,393,901,176,847.22
Step by Step Solution
- Step 1: Write the proportion equation
18,234,220,168,132 : 25,163,223,832,028 = 10,430,363,171,626 : x - Step 2: Convert to fraction form
18,234,220,168,132/25,163,223,832,028 = 10,430,363,171,626/x - Step 3: Cross multiply
18,234,220,168,132x = 25,163,223,832,028 × 10,430,363,171,626 - Step 4: Simplify right side
18,234,220,168,132x = 262,461,563,136,966,516,514,226,176 - Step 5: Solve for x
x = 262,461,563,136,966,516,514,226,176/18,234,220,168,132 - Step 6: Final answer
x = 14,393,901,176,847.22
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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.