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Finding the Fourth Proportional to 559,872,074.40, 839,808,111.60 and 471,188,349.60

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Solution

The fourth proportional to 559,872,074.40, 839,808,111.60 and 471,188,349.60 is: 706,782,524.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,872,074.40 : 839,808,111.60 = 471,188,349.60 : x
  2. Step 2: Convert to fraction form
    559,872,074.40/839,808,111.60 = 471,188,349.60/x
  3. Step 3: Cross multiply
    559,872,074.40x = 839,808,111.60 × 471,188,349.60
  4. Step 4: Simplify right side
    559,872,074.40x = 395,707,798,085,496,640
  5. Step 5: Solve for x
    x = 395,707,798,085,496,640/559,872,074.40
  6. Step 6: Final answer
    x = 706,782,524.40

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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.