Finding the Fourth Proportional to 300,886,654,727.24, 451,528,565,372.04 and 159,495,368,027.85
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Solution
The fourth proportional to 300,886,654,727.24, 451,528,565,372.04 and 159,495,368,027.85 is: 239,348,317,971.71
Step by Step Solution
- Step 1: Write the proportion equation
300,886,654,727.24 : 451,528,565,372.04 = 159,495,368,027.85 : x - Step 2: Convert to fraction form
300,886,654,727.24/451,528,565,372.04 = 159,495,368,027.85/x - Step 3: Cross multiply
300,886,654,727.24x = 451,528,565,372.04 × 159,495,368,027.85 - Step 4: Simplify right side
300,886,654,727.24x = 72,016,714,709,100,646,105,088 - Step 5: Solve for x
x = 72,016,714,709,100,646,105,088/300,886,654,727.24 - Step 6: Final answer
x = 239,348,317,971.71
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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.