Finding the Fourth Proportional to 447,259,243,286.20, 670,983,100,125.28 and 145,048,281,334.93
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Solution
The fourth proportional to 447,259,243,286.20, 670,983,100,125.28 and 145,048,281,334.93 is: 217,602,982,920.75
Step by Step Solution
- Step 1: Write the proportion equation
447,259,243,286.20 : 670,983,100,125.28 = 145,048,281,334.93 : x - Step 2: Convert to fraction form
447,259,243,286.20/670,983,100,125.28 = 145,048,281,334.93/x - Step 3: Cross multiply
447,259,243,286.20x = 670,983,100,125.28 × 145,048,281,334.93 - Step 4: Simplify right side
447,259,243,286.20x = 97,324,945,477,955,118,694,400 - Step 5: Solve for x
x = 97,324,945,477,955,118,694,400/447,259,243,286.20 - Step 6: Final answer
x = 217,602,982,920.75
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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.