Finding the Fourth Proportional to 147,478,991,270.84, 203,518,842,009.98 and 82,374,368,680.20
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Solution
The fourth proportional to 147,478,991,270.84, 203,518,842,009.98 and 82,374,368,680.20 is: 113,675,418,991.10
Step by Step Solution
- Step 1: Write the proportion equation
147,478,991,270.84 : 203,518,842,009.98 = 82,374,368,680.20 : x - Step 2: Convert to fraction form
147,478,991,270.84/203,518,842,009.98 = 82,374,368,680.20/x - Step 3: Cross multiply
147,478,991,270.84x = 203,518,842,009.98 × 82,374,368,680.20 - Step 4: Simplify right side
147,478,991,270.84x = 16,764,736,125,097,469,804,544 - Step 5: Solve for x
x = 16,764,736,125,097,469,804,544/147,478,991,270.84 - Step 6: Final answer
x = 113,675,418,991.10
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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.