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Finding the Fourth Proportional to 512,472,802.60, 768,709,203.90 and 507,695,228.20

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Solution

The fourth proportional to 512,472,802.60, 768,709,203.90 and 507,695,228.20 is: 761,542,842.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,472,802.60 : 768,709,203.90 = 507,695,228.20 : x
  2. Step 2: Convert to fraction form
    512,472,802.60/768,709,203.90 = 507,695,228.20/x
  3. Step 3: Cross multiply
    512,472,802.60x = 768,709,203.90 × 507,695,228.20
  4. Step 4: Simplify right side
    512,472,802.60x = 390,269,994,693,450,816
  5. Step 5: Solve for x
    x = 390,269,994,693,450,816/512,472,802.60
  6. Step 6: Final answer
    x = 761,542,842.30

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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.