Finding the Fourth Proportional to 8,186,156,677,701.20, 12,259,742,118,432 and 4,736,783,929,695.60
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Solution
The fourth proportional to 8,186,156,677,701.20, 12,259,742,118,432 and 4,736,783,929,695.60 is: 7,093,896,652,013.32
Step by Step Solution
- Step 1: Write the proportion equation
8,186,156,677,701.20 : 12,259,742,118,432 = 4,736,783,929,695.60 : x - Step 2: Convert to fraction form
8,186,156,677,701.20/12,259,742,118,432 = 4,736,783,929,695.60/x - Step 3: Cross multiply
8,186,156,677,701.20x = 12,259,742,118,432 × 4,736,783,929,695.60 - Step 4: Simplify right side
8,186,156,677,701.20x = 58,071,749,448,800,984,232,886,272 - Step 5: Solve for x
x = 58,071,749,448,800,984,232,886,272/8,186,156,677,701.20 - Step 6: Final answer
x = 7,093,896,652,013.32
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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.