Finding the Fourth Proportional to 6,343,852,774,098.50, 9,515,767,283,971 and 1,987,774,234,948.20
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Solution
The fourth proportional to 6,343,852,774,098.50, 9,515,767,283,971 and 1,987,774,234,948.20 is: 2,981,657,630,843.83
Step by Step Solution
- Step 1: Write the proportion equation
6,343,852,774,098.50 : 9,515,767,283,971 = 1,987,774,234,948.20 : x - Step 2: Convert to fraction form
6,343,852,774,098.50/9,515,767,283,971 = 1,987,774,234,948.20/x - Step 3: Cross multiply
6,343,852,774,098.50x = 9,515,767,283,971 × 1,987,774,234,948.20 - Step 4: Simplify right side
6,343,852,774,098.50x = 18,915,197,032,840,564,012,220,416 - Step 5: Solve for x
x = 18,915,197,032,840,564,012,220,416/6,343,852,774,098.50 - Step 6: Final answer
x = 2,981,657,630,843.83
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1.5x scale
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.