Finding the Fourth Proportional to 1,506,396,097.40, 2,259,590,822.58 and 401,001,202.04
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Solution
The fourth proportional to 1,506,396,097.40, 2,259,590,822.58 and 401,001,202.04 is: 601,500,918.34
Step by Step Solution
- Step 1: Write the proportion equation
1,506,396,097.40 : 2,259,590,822.58 = 401,001,202.04 : x - Step 2: Convert to fraction form
1,506,396,097.40/2,259,590,822.58 = 401,001,202.04/x - Step 3: Cross multiply
1,506,396,097.40x = 2,259,590,822.58 × 401,001,202.04 - Step 4: Simplify right side
1,506,396,097.40x = 906,098,635,973,132,416 - Step 5: Solve for x
x = 906,098,635,973,132,416/1,506,396,097.40 - Step 6: Final answer
x = 601,500,918.34
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1.5x scale
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.