Finding the Fourth Proportional to 767,515,417,659.04, 1,059,204,373,441.70 and 424,959,310,905.13
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Solution
The fourth proportional to 767,515,417,659.04, 1,059,204,373,441.70 and 424,959,310,905.13 is: 586,462,174,295.30
Step by Step Solution
- Step 1: Write the proportion equation
767,515,417,659.04 : 1,059,204,373,441.70 = 424,959,310,905.13 : x - Step 2: Convert to fraction form
767,515,417,659.04/1,059,204,373,441.70 = 424,959,310,905.13/x - Step 3: Cross multiply
767,515,417,659.04x = 1,059,204,373,441.70 × 424,959,310,905.13 - Step 4: Simplify right side
767,515,417,659.04x = 450,118,760,645,484,819,251,200 - Step 5: Solve for x
x = 450,118,760,645,484,819,251,200/767,515,417,659.04 - Step 6: Final answer
x = 586,462,174,295.30
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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.