Finding the Fourth Proportional to 465,869,053,184.73, 698,873,451,948.68 and 163,628,384,371.53
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Solution
The fourth proportional to 465,869,053,184.73, 698,873,451,948.68 and 163,628,384,371.53 is: 245,467,117,939.62
Step by Step Solution
- Step 1: Write the proportion equation
465,869,053,184.73 : 698,873,451,948.68 = 163,628,384,371.53 : x - Step 2: Convert to fraction form
465,869,053,184.73/698,873,451,948.68 = 163,628,384,371.53/x - Step 3: Cross multiply
465,869,053,184.73x = 698,873,451,948.68 × 163,628,384,371.53 - Step 4: Simplify right side
465,869,053,184.73x = 114,355,533,822,516,617,281,536 - Step 5: Solve for x
x = 114,355,533,822,516,617,281,536/465,869,053,184.73 - Step 6: Final answer
x = 245,467,117,939.62
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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.