Finding the Fourth Proportional to 1,213,264,237,908.20, 1,673,498,269,871.10 and 780,264,374,089.14
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Solution
The fourth proportional to 1,213,264,237,908.20, 1,673,498,269,871.10 and 780,264,374,089.14 is: 1,076,246,244,867.09
Step by Step Solution
- Step 1: Write the proportion equation
1,213,264,237,908.20 : 1,673,498,269,871.10 = 780,264,374,089.14 : x - Step 2: Convert to fraction form
1,213,264,237,908.20/1,673,498,269,871.10 = 780,264,374,089.14/x - Step 3: Cross multiply
1,213,264,237,908.20x = 1,673,498,269,871.10 × 780,264,374,089.14 - Step 4: Simplify right side
1,213,264,237,908.20x = 1,305,771,080,080,232,709,881,856 - Step 5: Solve for x
x = 1,305,771,080,080,232,709,881,856/1,213,264,237,908.20 - Step 6: Final answer
x = 1,076,246,244,867.09
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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.