Finding the Fourth Proportional to 362,272,182,005.40, 543,408,273,008.10 and 97,303,352,155.80
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Solution
The fourth proportional to 362,272,182,005.40, 543,408,273,008.10 and 97,303,352,155.80 is: 145,955,028,233.70
Step by Step Solution
- Step 1: Write the proportion equation
362,272,182,005.40 : 543,408,273,008.10 = 97,303,352,155.80 : x - Step 2: Convert to fraction form
362,272,182,005.40/543,408,273,008.10 = 97,303,352,155.80/x - Step 3: Cross multiply
362,272,182,005.40x = 543,408,273,008.10 × 97,303,352,155.80 - Step 4: Simplify right side
362,272,182,005.40x = 52,875,446,552,882,262,835,200 - Step 5: Solve for x
x = 52,875,446,552,882,262,835,200/362,272,182,005.40 - Step 6: Final answer
x = 145,955,028,233.70
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1.5x scale
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.