Finding the Fourth Proportional to 1,302,155,824.36, 1,953,154,632.54 and 461,840,207.08
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Solution
The fourth proportional to 1,302,155,824.36, 1,953,154,632.54 and 461,840,207.08 is: 692,732,254.52
Step by Step Solution
- Step 1: Write the proportion equation
1,302,155,824.36 : 1,953,154,632.54 = 461,840,207.08 : x - Step 2: Convert to fraction form
1,302,155,824.36/1,953,154,632.54 = 461,840,207.08/x - Step 3: Cross multiply
1,302,155,824.36x = 1,953,154,632.54 × 461,840,207.08 - Step 4: Simplify right side
1,302,155,824.36x = 902,045,339,951,534,848 - Step 5: Solve for x
x = 902,045,339,951,534,848/1,302,155,824.36 - Step 6: Final answer
x = 692,732,254.52
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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.