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Finding the Fourth Proportional to 229,362,021.60, 344,043,032.40 and 229,362,021.60

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Solution

The fourth proportional to 229,362,021.60, 344,043,032.40 and 229,362,021.60 is: 344,043,032.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,362,021.60 : 344,043,032.40 = 229,362,021.60 : x
  2. Step 2: Convert to fraction form
    229,362,021.60/344,043,032.40 = 229,362,021.60/x
  3. Step 3: Cross multiply
    229,362,021.60x = 344,043,032.40 × 229,362,021.60
  4. Step 4: Simplify right side
    229,362,021.60x = 78,910,405,428,658,288
  5. Step 5: Solve for x
    x = 78,910,405,428,658,288/229,362,021.60
  6. Step 6: Final answer
    x = 344,043,032.40

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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.