Finding the Fourth Proportional to 3,064,631,948,412, 4,596,952,346,900.20 and 1,251,507,564,716.20
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Solution
The fourth proportional to 3,064,631,948,412, 4,596,952,346,900.20 and 1,251,507,564,716.20 is: 1,877,263,153,823.93
Step by Step Solution
- Step 1: Write the proportion equation
3,064,631,948,412 : 4,596,952,346,900.20 = 1,251,507,564,716.20 : x - Step 2: Convert to fraction form
3,064,631,948,412/4,596,952,346,900.20 = 1,251,507,564,716.20/x - Step 3: Cross multiply
3,064,631,948,412x = 4,596,952,346,900.20 × 1,251,507,564,716.20 - Step 4: Simplify right side
3,064,631,948,412x = 5,753,120,636,785,489,159,913,472 - Step 5: Solve for x
x = 5,753,120,636,785,489,159,913,472/3,064,631,948,412 - Step 6: Final answer
x = 1,877,263,153,823.93
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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.