Finding the Fourth Proportional to 815,771,569,307.90, 1,125,768,265,554.70 and 444,983,067,631.20
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Solution
The fourth proportional to 815,771,569,307.90, 1,125,768,265,554.70 and 444,983,067,631.20 is: 614,078,542,444.66
Step by Step Solution
- Step 1: Write the proportion equation
815,771,569,307.90 : 1,125,768,265,554.70 = 444,983,067,631.20 : x - Step 2: Convert to fraction form
815,771,569,307.90/1,125,768,265,554.70 = 444,983,067,631.20/x - Step 3: Cross multiply
815,771,569,307.90x = 1,125,768,265,554.70 × 444,983,067,631.20 - Step 4: Simplify right side
815,771,569,307.90x = 500,947,816,248,385,808,105,472 - Step 5: Solve for x
x = 500,947,816,248,385,808,105,472/815,771,569,307.90 - Step 6: Final answer
x = 614,078,542,444.66
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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.