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Finding the Fourth Proportional to 307,103,765.60, 460,655,648.40 and 99,841,775.60

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Solution

The fourth proportional to 307,103,765.60, 460,655,648.40 and 99,841,775.60 is: 149,762,663.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,103,765.60 : 460,655,648.40 = 99,841,775.60 : x
  2. Step 2: Convert to fraction form
    307,103,765.60/460,655,648.40 = 99,841,775.60/x
  3. Step 3: Cross multiply
    307,103,765.60x = 460,655,648.40 × 99,841,775.60
  4. Step 4: Simplify right side
    307,103,765.60x = 45,992,677,876,425,296
  5. Step 5: Solve for x
    x = 45,992,677,876,425,296/307,103,765.60
  6. Step 6: Final answer
    x = 149,762,663.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.