Finding the Fourth Proportional to 163,723,219,008.08, 245,584,828,512.12 and 163,723,219,008.08
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Solution
The fourth proportional to 163,723,219,008.08, 245,584,828,512.12 and 163,723,219,008.08 is: 245,584,828,512.12
Step by Step Solution
- Step 1: Write the proportion equation
163,723,219,008.08 : 245,584,828,512.12 = 163,723,219,008.08 : x - Step 2: Convert to fraction form
163,723,219,008.08/245,584,828,512.12 = 163,723,219,008.08/x - Step 3: Cross multiply
163,723,219,008.08x = 245,584,828,512.12 × 163,723,219,008.08 - Step 4: Simplify right side
163,723,219,008.08x = 40,207,938,663,551,590,203,392 - Step 5: Solve for x
x = 40,207,938,663,551,590,203,392/163,723,219,008.08 - Step 6: Final answer
x = 245,584,828,512.12
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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.