Finding the Fourth Proportional to 37,310,418,030,258, 55,973,260,087,964 and 12,830,059,559,451
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Solution
The fourth proportional to 37,310,418,030,258, 55,973,260,087,964 and 12,830,059,559,451 is: 19,247,714,139,327.58
Step by Step Solution
- Step 1: Write the proportion equation
37,310,418,030,258 : 55,973,260,087,964 = 12,830,059,559,451 : x - Step 2: Convert to fraction form
37,310,418,030,258/55,973,260,087,964 = 12,830,059,559,451/x - Step 3: Cross multiply
37,310,418,030,258x = 55,973,260,087,964 × 12,830,059,559,451 - Step 4: Simplify right side
37,310,418,030,258x = 718,140,260,665,219,630,288,076,800 - Step 5: Solve for x
x = 718,140,260,665,219,630,288,076,800/37,310,418,030,258 - Step 6: Final answer
x = 19,247,714,139,327.58
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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.