Finding the Fourth Proportional to 47,497,873,011, 65,569,381,173.42 and 27,444,983,776.44
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Solution
The fourth proportional to 47,497,873,011, 65,569,381,173.42 and 27,444,983,776.44 is: 37,886,972,372.83
Step by Step Solution
- Step 1: Write the proportion equation
47,497,873,011 : 65,569,381,173.42 = 27,444,983,776.44 : x - Step 2: Convert to fraction form
47,497,873,011/65,569,381,173.42 = 27,444,983,776.44/x - Step 3: Cross multiply
47,497,873,011x = 65,569,381,173.42 × 27,444,983,776.44 - Step 4: Simplify right side
47,497,873,011x = 1,799,550,602,535,722,024,960 - Step 5: Solve for x
x = 1,799,550,602,535,722,024,960/47,497,873,011 - Step 6: Final answer
x = 37,886,972,372.83
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1.5x scale
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.