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Finding the Fourth Proportional to 497,666,508.40, 746,499,762.60 and 255,353,906.80

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Solution

The fourth proportional to 497,666,508.40, 746,499,762.60 and 255,353,906.80 is: 383,030,860.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,666,508.40 : 746,499,762.60 = 255,353,906.80 : x
  2. Step 2: Convert to fraction form
    497,666,508.40/746,499,762.60 = 255,353,906.80/x
  3. Step 3: Cross multiply
    497,666,508.40x = 746,499,762.60 × 255,353,906.80
  4. Step 4: Simplify right side
    497,666,508.40x = 190,621,630,805,182,528
  5. Step 5: Solve for x
    x = 190,621,630,805,182,528/497,666,508.40
  6. Step 6: Final answer
    x = 383,030,860.20

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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.