Finding the Fourth Proportional to 97,611,264,223.20, 146,416,896,334.80 and 27,809,110,648.80
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Solution
The fourth proportional to 97,611,264,223.20, 146,416,896,334.80 and 27,809,110,648.80 is: 41,713,665,973.20
Step by Step Solution
- Step 1: Write the proportion equation
97,611,264,223.20 : 146,416,896,334.80 = 27,809,110,648.80 : x - Step 2: Convert to fraction form
97,611,264,223.20/146,416,896,334.80 = 27,809,110,648.80/x - Step 3: Cross multiply
97,611,264,223.20x = 146,416,896,334.80 × 27,809,110,648.80 - Step 4: Simplify right side
97,611,264,223.20x = 4,071,723,671,028,331,708,416 - Step 5: Solve for x
x = 4,071,723,671,028,331,708,416/97,611,264,223.20 - Step 6: Final answer
x = 41,713,665,973.20
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1.5x scale
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.