Finding the Fourth Proportional to 906,838,291,234.70, 1,360,448,476,937.60 and 294,170,012,687.87
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Solution
The fourth proportional to 906,838,291,234.70, 1,360,448,476,937.60 and 294,170,012,687.87 is: 441,316,990,680.92
Step by Step Solution
- Step 1: Write the proportion equation
906,838,291,234.70 : 1,360,448,476,937.60 = 294,170,012,687.87 : x - Step 2: Convert to fraction form
906,838,291,234.70/1,360,448,476,937.60 = 294,170,012,687.87/x - Step 3: Cross multiply
906,838,291,234.70x = 1,360,448,476,937.60 × 294,170,012,687.87 - Step 4: Simplify right side
906,838,291,234.70x = 400,203,145,721,927,249,690,624 - Step 5: Solve for x
x = 400,203,145,721,927,249,690,624/906,838,291,234.70 - Step 6: Final answer
x = 441,316,990,680.92
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.