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Finding the Fourth Proportional to 403,630,211.70, 565,464,933.90 and 403,630,211.70

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Solution

The fourth proportional to 403,630,211.70, 565,464,933.90 and 403,630,211.70 is: 565,464,933.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,630,211.70 : 565,464,933.90 = 403,630,211.70 : x
  2. Step 2: Convert to fraction form
    403,630,211.70/565,464,933.90 = 403,630,211.70/x
  3. Step 3: Cross multiply
    403,630,211.70x = 565,464,933.90 × 403,630,211.70
  4. Step 4: Simplify right side
    403,630,211.70x = 228,238,730,978,983,488
  5. Step 5: Solve for x
    x = 228,238,730,978,983,488/403,630,211.70
  6. Step 6: Final answer
    x = 565,464,933.90

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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.