Finding the Fourth Proportional to 801,427,412,963.19, 1,202,141,119,444.80 and 801,427,412,963.19
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Solution
The fourth proportional to 801,427,412,963.19, 1,202,141,119,444.80 and 801,427,412,963.19 is: 1,202,141,119,444.80
Step by Step Solution
- Step 1: Write the proportion equation
801,427,412,963.19 : 1,202,141,119,444.80 = 801,427,412,963.19 : x - Step 2: Convert to fraction form
801,427,412,963.19/1,202,141,119,444.80 = 801,427,412,963.19/x - Step 3: Cross multiply
801,427,412,963.19x = 1,202,141,119,444.80 × 801,427,412,963.19 - Step 4: Simplify right side
801,427,412,963.19x = 963,428,847,373,319,164,395,520 - Step 5: Solve for x
x = 963,428,847,373,319,164,395,520/801,427,412,963.19 - Step 6: Final answer
x = 1,202,141,119,444.80
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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.