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Finding the Fourth Proportional to 403,406,977.60, 605,110,466.40 and 400,383,668.80

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Solution

The fourth proportional to 403,406,977.60, 605,110,466.40 and 400,383,668.80 is: 600,575,503.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,406,977.60 : 605,110,466.40 = 400,383,668.80 : x
  2. Step 2: Convert to fraction form
    403,406,977.60/605,110,466.40 = 400,383,668.80/x
  3. Step 3: Cross multiply
    403,406,977.60x = 605,110,466.40 × 400,383,668.80
  4. Step 4: Simplify right side
    403,406,977.60x = 242,276,348,566,511,136
  5. Step 5: Solve for x
    x = 242,276,348,566,511,136/403,406,977.60
  6. Step 6: Final answer
    x = 600,575,503.20

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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.