Finding the Fourth Proportional to 9,119,118,506.24, 12,577,896,117.26 and 8,368,854,460.15
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Solution
The fourth proportional to 9,119,118,506.24, 12,577,896,117.26 and 8,368,854,460.15 is: 11,543,065,478.12
Step by Step Solution
- Step 1: Write the proportion equation
9,119,118,506.24 : 12,577,896,117.26 = 8,368,854,460.15 : x - Step 2: Convert to fraction form
9,119,118,506.24/12,577,896,117.26 = 8,368,854,460.15/x - Step 3: Cross multiply
9,119,118,506.24x = 12,577,896,117.26 × 8,368,854,460.15 - Step 4: Simplify right side
9,119,118,506.24x = 105,262,582,020,234,723,328 - Step 5: Solve for x
x = 105,262,582,020,234,723,328/9,119,118,506.24 - Step 6: Final answer
x = 11,543,065,478.12
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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.