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Finding the Fourth Proportional to 531,442,704.40, 797,164,056.60 and 475,481,967.10

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Solution

The fourth proportional to 531,442,704.40, 797,164,056.60 and 475,481,967.10 is: 713,222,950.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,442,704.40 : 797,164,056.60 = 475,481,967.10 : x
  2. Step 2: Convert to fraction form
    531,442,704.40/797,164,056.60 = 475,481,967.10/x
  3. Step 3: Cross multiply
    531,442,704.40x = 797,164,056.60 × 475,481,967.10
  4. Step 4: Simplify right side
    531,442,704.40x = 379,037,133,733,583,744
  5. Step 5: Solve for x
    x = 379,037,133,733,583,744/531,442,704.40
  6. Step 6: Final answer
    x = 713,222,950.65

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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.