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Finding the Fourth Proportional to 403,643,122.20, 565,483,008.60 and 403,643,122.20

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Solution

The fourth proportional to 403,643,122.20, 565,483,008.60 and 403,643,122.20 is: 565,483,008.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,643,122.20 : 565,483,008.60 = 403,643,122.20 : x
  2. Step 2: Convert to fraction form
    403,643,122.20/565,483,008.60 = 403,643,122.20/x
  3. Step 3: Cross multiply
    403,643,122.20x = 565,483,008.60 × 403,643,122.20
  4. Step 4: Simplify right side
    403,643,122.20x = 228,253,327,142,353,440
  5. Step 5: Solve for x
    x = 228,253,327,142,353,440/403,643,122.20
  6. Step 6: Final answer
    x = 565,483,008.60

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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.