Finding the Fourth Proportional to 1,450,260,565,120.40, 2,001,365,801,928.40 and 791,081,006,585.68
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Solution
The fourth proportional to 1,450,260,565,120.40, 2,001,365,801,928.40 and 791,081,006,585.68 is: 1,091,695,183,068.18
Step by Step Solution
- Step 1: Write the proportion equation
1,450,260,565,120.40 : 2,001,365,801,928.40 = 791,081,006,585.68 : x - Step 2: Convert to fraction form
1,450,260,565,120.40/2,001,365,801,928.40 = 791,081,006,585.68/x - Step 3: Cross multiply
1,450,260,565,120.40x = 2,001,365,801,928.40 × 791,081,006,585.68 - Step 4: Simplify right side
1,450,260,565,120.40x = 1,583,242,473,135,675,354,906,624 - Step 5: Solve for x
x = 1,583,242,473,135,675,354,906,624/1,450,260,565,120.40 - Step 6: Final answer
x = 1,091,695,183,068.18
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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.