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Finding the Fourth Proportional to 458,472,245.80, 687,708,368.70 and 408,307,714.60

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Solution

The fourth proportional to 458,472,245.80, 687,708,368.70 and 408,307,714.60 is: 612,461,571.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,472,245.80 : 687,708,368.70 = 408,307,714.60 : x
  2. Step 2: Convert to fraction form
    458,472,245.80/687,708,368.70 = 408,307,714.60/x
  3. Step 3: Cross multiply
    458,472,245.80x = 687,708,368.70 × 408,307,714.60
  4. Step 4: Simplify right side
    458,472,245.80x = 280,796,632,335,191,200
  5. Step 5: Solve for x
    x = 280,796,632,335,191,200/458,472,245.80
  6. Step 6: Final answer
    x = 612,461,571.90

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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.