Finding the Fourth Proportional to 9,033,276,267.06, 12,466,257,676.41 and 5,416,888,788.91
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Solution
The fourth proportional to 9,033,276,267.06, 12,466,257,676.41 and 5,416,888,788.91 is: 7,475,508,270.82
Step by Step Solution
- Step 1: Write the proportion equation
9,033,276,267.06 : 12,466,257,676.41 = 5,416,888,788.91 : x - Step 2: Convert to fraction form
9,033,276,267.06/12,466,257,676.41 = 5,416,888,788.91/x - Step 3: Cross multiply
9,033,276,267.06x = 12,466,257,676.41 × 5,416,888,788.91 - Step 4: Simplify right side
9,033,276,267.06x = 67,528,331,447,008,550,912 - Step 5: Solve for x
x = 67,528,331,447,008,550,912/9,033,276,267.06 - Step 6: Final answer
x = 7,475,508,270.82
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1.5x scale
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.