Finding the Fourth Proportional to 765,878,698,595.44, 1,148,818,047,972.20 and 255,937,465,692.19
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Solution
The fourth proportional to 765,878,698,595.44, 1,148,818,047,972.20 and 255,937,465,692.19 is: 383,906,198,564.70
Step by Step Solution
- Step 1: Write the proportion equation
765,878,698,595.44 : 1,148,818,047,972.20 = 255,937,465,692.19 : x - Step 2: Convert to fraction form
765,878,698,595.44/1,148,818,047,972.20 = 255,937,465,692.19/x - Step 3: Cross multiply
765,878,698,595.44x = 1,148,818,047,972.20 × 255,937,465,692.19 - Step 4: Simplify right side
765,878,698,595.44x = 294,025,579,739,453,623,107,584 - Step 5: Solve for x
x = 294,025,579,739,453,623,107,584/765,878,698,595.44 - Step 6: Final answer
x = 383,906,198,564.70
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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.