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Finding the Fourth Proportional to 541,728,216.70, 812,592,325.05 and 403,775,755.90

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Solution

The fourth proportional to 541,728,216.70, 812,592,325.05 and 403,775,755.90 is: 605,663,633.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,728,216.70 : 812,592,325.05 = 403,775,755.90 : x
  2. Step 2: Convert to fraction form
    541,728,216.70/812,592,325.05 = 403,775,755.90/x
  3. Step 3: Cross multiply
    541,728,216.70x = 812,592,325.05 × 403,775,755.90
  4. Step 4: Simplify right side
    541,728,216.70x = 328,105,080,285,602,240
  5. Step 5: Solve for x
    x = 328,105,080,285,602,240/541,728,216.70
  6. Step 6: Final answer
    x = 605,663,633.85

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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.