Finding the Fourth Proportional to 3,064,631,948,758, 4,596,952,347,417.70 and 1,251,507,565,060.10
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Solution
The fourth proportional to 3,064,631,948,758, 4,596,952,347,417.70 and 1,251,507,565,060.10 is: 1,877,263,154,339.17
Step by Step Solution
- Step 1: Write the proportion equation
3,064,631,948,758 : 4,596,952,347,417.70 = 1,251,507,565,060.10 : x - Step 2: Convert to fraction form
3,064,631,948,758/4,596,952,347,417.70 = 1,251,507,565,060.10/x - Step 3: Cross multiply
3,064,631,948,758x = 4,596,952,347,417.70 × 1,251,507,565,060.10 - Step 4: Simplify right side
3,064,631,948,758x = 5,753,120,639,014,037,094,400,000 - Step 5: Solve for x
x = 5,753,120,639,014,037,094,400,000/3,064,631,948,758 - Step 6: Final answer
x = 1,877,263,154,339.17
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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.