Finding the Fourth Proportional to 7,456,159,206.09, 10,289,717,641.53 and 4,069,285,863.75
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Solution
The fourth proportional to 7,456,159,206.09, 10,289,717,641.53 and 4,069,285,863.75 is: 5,615,733,433.70
Step by Step Solution
- Step 1: Write the proportion equation
7,456,159,206.09 : 10,289,717,641.53 = 4,069,285,863.75 : x - Step 2: Convert to fraction form
7,456,159,206.09/10,289,717,641.53 = 4,069,285,863.75/x - Step 3: Cross multiply
7,456,159,206.09x = 10,289,717,641.53 × 4,069,285,863.75 - Step 4: Simplify right side
7,456,159,206.09x = 41,871,802,540,657,025,024 - Step 5: Solve for x
x = 41,871,802,540,657,025,024/7,456,159,206.09 - Step 6: Final answer
x = 5,615,733,433.70
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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.