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Finding the Fourth Proportional to 422,841,614.40, 634,262,421.60 and 422,841,614.40

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Solution

The fourth proportional to 422,841,614.40, 634,262,421.60 and 422,841,614.40 is: 634,262,421.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,841,614.40 : 634,262,421.60 = 422,841,614.40 : x
  2. Step 2: Convert to fraction form
    422,841,614.40/634,262,421.60 = 422,841,614.40/x
  3. Step 3: Cross multiply
    422,841,614.40x = 634,262,421.60 × 422,841,614.40
  4. Step 4: Simplify right side
    422,841,614.40x = 268,192,546,302,597,440
  5. Step 5: Solve for x
    x = 268,192,546,302,597,440/422,841,614.40
  6. Step 6: Final answer
    x = 634,262,421.60

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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.