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Finding the Fourth Proportional to 301,806,013.20, 452,667,029.40 and 97,354,755.60

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Solution

The fourth proportional to 301,806,013.20, 452,667,029.40 and 97,354,755.60 is: 146,018,588.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,806,013.20 : 452,667,029.40 = 97,354,755.60 : x
  2. Step 2: Convert to fraction form
    301,806,013.20/452,667,029.40 = 97,354,755.60/x
  3. Step 3: Cross multiply
    301,806,013.20x = 452,667,029.40 × 97,354,755.60
  4. Step 4: Simplify right side
    301,806,013.20x = 44,069,288,015,415,008
  5. Step 5: Solve for x
    x = 44,069,288,015,415,008/301,806,013.20
  6. Step 6: Final answer
    x = 146,018,588.39

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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.