Finding the Fourth Proportional to 1,470,170,262,353.70, 2,205,259,530,683.40 and 563,885,873,755.92
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Solution
The fourth proportional to 1,470,170,262,353.70, 2,205,259,530,683.40 and 563,885,873,755.92 is: 845,830,397,444.68
Step by Step Solution
- Step 1: Write the proportion equation
1,470,170,262,353.70 : 2,205,259,530,683.40 = 563,885,873,755.92 : x - Step 2: Convert to fraction form
1,470,170,262,353.70/2,205,259,530,683.40 = 563,885,873,755.92/x - Step 3: Cross multiply
1,470,170,262,353.70x = 2,205,259,530,683.40 × 563,885,873,755.92 - Step 4: Simplify right side
1,470,170,262,353.70x = 1,243,514,697,317,979,076,427,776 - Step 5: Solve for x
x = 1,243,514,697,317,979,076,427,776/1,470,170,262,353.70 - Step 6: Final answer
x = 845,830,397,444.68
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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.