Finding the Fourth Proportional to 47,430,497,106.47, 71,143,126,879.10 and 34,680,636,811.18
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Solution
The fourth proportional to 47,430,497,106.47, 71,143,126,879.10 and 34,680,636,811.18 is: 52,019,040,394.35
Step by Step Solution
- Step 1: Write the proportion equation
47,430,497,106.47 : 71,143,126,879.10 = 34,680,636,811.18 : x - Step 2: Convert to fraction form
47,430,497,106.47/71,143,126,879.10 = 34,680,636,811.18/x - Step 3: Cross multiply
47,430,497,106.47x = 71,143,126,879.10 × 34,680,636,811.18 - Step 4: Simplify right side
47,430,497,106.47x = 2,467,288,944,905,662,496,768 - Step 5: Solve for x
x = 2,467,288,944,905,662,496,768/47,430,497,106.47 - Step 6: Final answer
x = 52,019,040,394.35
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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.