Finding the Fourth Proportional to 48,642,842,777.21, 72,975,266,306.71 and 26,258,110,660.88
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Solution
The fourth proportional to 48,642,842,777.21, 72,975,266,306.71 and 26,258,110,660.88 is: 39,393,105,106.23
Step by Step Solution
- Step 1: Write the proportion equation
48,642,842,777.21 : 72,975,266,306.71 = 26,258,110,660.88 : x - Step 2: Convert to fraction form
48,642,842,777.21/72,975,266,306.71 = 26,258,110,660.88/x - Step 3: Cross multiply
48,642,842,777.21x = 72,975,266,306.71 × 26,258,110,660.88 - Step 4: Simplify right side
48,642,842,777.21x = 1,916,192,618,188,414,124,032 - Step 5: Solve for x
x = 1,916,192,618,188,414,124,032/48,642,842,777.21 - Step 6: Final answer
x = 39,393,105,106.23
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.