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Finding the Fourth Proportional to 372,728,389,619.20, 559,092,584,428.80 and 372,728,389,619.20

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Solution

The fourth proportional to 372,728,389,619.20, 559,092,584,428.80 and 372,728,389,619.20 is: 559,092,584,428.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,728,389,619.20 : 559,092,584,428.80 = 372,728,389,619.20 : x
  2. Step 2: Convert to fraction form
    372,728,389,619.20/559,092,584,428.80 = 372,728,389,619.20/x
  3. Step 3: Cross multiply
    372,728,389,619.20x = 559,092,584,428.80 × 372,728,389,619.20
  4. Step 4: Simplify right side
    372,728,389,619.20x = 208,389,678,642,183,264,010,240
  5. Step 5: Solve for x
    x = 208,389,678,642,183,264,010,240/372,728,389,619.20
  6. Step 6: Final answer
    x = 559,092,584,428.80

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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.