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Finding the Fourth Proportional to 387,209,468.40, 542,496,363.60 and 387,209,468.40

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Solution

The fourth proportional to 387,209,468.40, 542,496,363.60 and 387,209,468.40 is: 542,496,363.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,209,468.40 : 542,496,363.60 = 387,209,468.40 : x
  2. Step 2: Convert to fraction form
    387,209,468.40/542,496,363.60 = 387,209,468.40/x
  3. Step 3: Cross multiply
    387,209,468.40x = 542,496,363.60 × 387,209,468.40
  4. Step 4: Simplify right side
    387,209,468.40x = 210,059,728,558,489,120
  5. Step 5: Solve for x
    x = 210,059,728,558,489,120/387,209,468.40
  6. Step 6: Final answer
    x = 542,496,363.60

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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.