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Finding the Fourth Proportional to 531,523,141.20, 742,318,412.40 and 531,523,141.20

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Solution

The fourth proportional to 531,523,141.20, 742,318,412.40 and 531,523,141.20 is: 742,318,412.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,523,141.20 : 742,318,412.40 = 531,523,141.20 : x
  2. Step 2: Convert to fraction form
    531,523,141.20/742,318,412.40 = 531,523,141.20/x
  3. Step 3: Cross multiply
    531,523,141.20x = 742,318,412.40 × 531,523,141.20
  4. Step 4: Simplify right side
    531,523,141.20x = 394,559,414,329,444,992
  5. Step 5: Solve for x
    x = 394,559,414,329,444,992/531,523,141.20
  6. Step 6: Final answer
    x = 742,318,412.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.