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Finding the Fourth Proportional to 502,023,643.60, 753,035,465.43 and 502,023,643.60

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Solution

The fourth proportional to 502,023,643.60, 753,035,465.43 and 502,023,643.60 is: 753,035,465.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,023,643.60 : 753,035,465.43 = 502,023,643.60 : x
  2. Step 2: Convert to fraction form
    502,023,643.60/753,035,465.43 = 502,023,643.60/x
  3. Step 3: Cross multiply
    502,023,643.60x = 753,035,465.43 × 502,023,643.60
  4. Step 4: Simplify right side
    502,023,643.60x = 378,041,608,115,190,464
  5. Step 5: Solve for x
    x = 378,041,608,115,190,464/502,023,643.60
  6. Step 6: Final answer
    x = 753,035,465.43

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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.