Finding the Fourth Proportional to 16,549,915,018,987, 24,824,782,226,214 and 6,747,949,522,024
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Solution
The fourth proportional to 16,549,915,018,987, 24,824,782,226,214 and 6,747,949,522,024 is: 10,121,887,463,805.49
Step by Step Solution
- Step 1: Write the proportion equation
16,549,915,018,987 : 24,824,782,226,214 = 6,747,949,522,024 : x - Step 2: Convert to fraction form
16,549,915,018,987/24,824,782,226,214 = 6,747,949,522,024/x - Step 3: Cross multiply
16,549,915,018,987x = 24,824,782,226,214 × 6,747,949,522,024 - Step 4: Simplify right side
16,549,915,018,987x = 167,516,377,357,730,668,215,271,424 - Step 5: Solve for x
x = 167,516,377,357,730,668,215,271,424/16,549,915,018,987 - Step 6: Final answer
x = 10,121,887,463,805.49
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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.