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Finding the Fourth Proportional to 496,525,602.70, 744,788,404.05 and 419,041,504.90

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Solution

The fourth proportional to 496,525,602.70, 744,788,404.05 and 419,041,504.90 is: 628,562,257.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,525,602.70 : 744,788,404.05 = 419,041,504.90 : x
  2. Step 2: Convert to fraction form
    496,525,602.70/744,788,404.05 = 419,041,504.90/x
  3. Step 3: Cross multiply
    496,525,602.70x = 744,788,404.05 × 419,041,504.90
  4. Step 4: Simplify right side
    496,525,602.70x = 312,097,253,665,181,248
  5. Step 5: Solve for x
    x = 312,097,253,665,181,248/496,525,602.70
  6. Step 6: Final answer
    x = 628,562,257.35

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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.