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Finding the Fourth Proportional to 403,622,357.20, 565,453,937.60 and 403,622,357.20

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Solution

The fourth proportional to 403,622,357.20, 565,453,937.60 and 403,622,357.20 is: 565,453,937.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,622,357.20 : 565,453,937.60 = 403,622,357.20 : x
  2. Step 2: Convert to fraction form
    403,622,357.20/565,453,937.60 = 403,622,357.20/x
  3. Step 3: Cross multiply
    403,622,357.20x = 565,453,937.60 × 403,622,357.20
  4. Step 4: Simplify right side
    403,622,357.20x = 228,229,851,182,133,728
  5. Step 5: Solve for x
    x = 228,229,851,182,133,728/403,622,357.20
  6. Step 6: Final answer
    x = 565,453,937.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.