Finding the Fourth Proportional to 982,637,568,432.80, 1,473,956,352,649.20 and 804,114,207,101.60
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Solution
The fourth proportional to 982,637,568,432.80, 1,473,956,352,649.20 and 804,114,207,101.60 is: 1,206,171,310,652.40
Step by Step Solution
- Step 1: Write the proportion equation
982,637,568,432.80 : 1,473,956,352,649.20 = 804,114,207,101.60 : x - Step 2: Convert to fraction form
982,637,568,432.80/1,473,956,352,649.20 = 804,114,207,101.60/x - Step 3: Cross multiply
982,637,568,432.80x = 1,473,956,352,649.20 × 804,114,207,101.60 - Step 4: Simplify right side
982,637,568,432.80x = 1,185,229,243,812,877,732,675,584 - Step 5: Solve for x
x = 1,185,229,243,812,877,732,675,584/982,637,568,432.80 - Step 6: Final answer
x = 1,206,171,310,652.40
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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.