Finding the Fourth Proportional to 29,577,319,508,000, 40,816,748,938,018 and 16,408,311,166,984
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Solution
The fourth proportional to 29,577,319,508,000, 40,816,748,938,018 and 16,408,311,166,984 is: 22,643,496,048,332.41
Step by Step Solution
- Step 1: Write the proportion equation
29,577,319,508,000 : 40,816,748,938,018 = 16,408,311,166,984 : x - Step 2: Convert to fraction form
29,577,319,508,000/40,816,748,938,018 = 16,408,311,166,984/x - Step 3: Cross multiply
29,577,319,508,000x = 40,816,748,938,018 × 16,408,311,166,984 - Step 4: Simplify right side
29,577,319,508,000x = 669,733,917,399,663,050,210,934,784 - Step 5: Solve for x
x = 669,733,917,399,663,050,210,934,784/29,577,319,508,000 - Step 6: Final answer
x = 22,643,496,048,332.41
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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.