Finding the Fourth Proportional to 51,594,225,156,712, 71,200,027,993,272 and 27,863,241,621,260
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Solution
The fourth proportional to 51,594,225,156,712, 71,200,027,993,272 and 27,863,241,621,260 is: 38,451,271,966,799.34
Step by Step Solution
- Step 1: Write the proportion equation
51,594,225,156,712 : 71,200,027,993,272 = 27,863,241,621,260 : x - Step 2: Convert to fraction form
51,594,225,156,712/71,200,027,993,272 = 27,863,241,621,260/x - Step 3: Cross multiply
51,594,225,156,712x = 71,200,027,993,272 × 27,863,241,621,260 - Step 4: Simplify right side
51,594,225,156,712x = 1,983,863,583,417,013,571,149,627,392 - Step 5: Solve for x
x = 1,983,863,583,417,013,571,149,627,392/51,594,225,156,712 - Step 6: Final answer
x = 38,451,271,966,799.34
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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.