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Finding the Fourth Proportional to 502,014,378.60, 753,021,567.90 and 502,014,378.60

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Solution

The fourth proportional to 502,014,378.60, 753,021,567.90 and 502,014,378.60 is: 753,021,567.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,014,378.60 : 753,021,567.90 = 502,014,378.60 : x
  2. Step 2: Convert to fraction form
    502,014,378.60/753,021,567.90 = 502,014,378.60/x
  3. Step 3: Cross multiply
    502,014,378.60x = 753,021,567.90 × 502,014,378.60
  4. Step 4: Simplify right side
    502,014,378.60x = 378,027,654,481,716,224
  5. Step 5: Solve for x
    x = 378,027,654,481,716,224/502,014,378.60
  6. Step 6: Final answer
    x = 753,021,567.90

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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.