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Finding the Fourth Proportional to 288,793,806.40, 433,190,709.60 and 288,793,806.40

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Solution

The fourth proportional to 288,793,806.40, 433,190,709.60 and 288,793,806.40 is: 433,190,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,793,806.40 : 433,190,709.60 = 288,793,806.40 : x
  2. Step 2: Convert to fraction form
    288,793,806.40/433,190,709.60 = 288,793,806.40/x
  3. Step 3: Cross multiply
    288,793,806.40x = 433,190,709.60 × 288,793,806.40
  4. Step 4: Simplify right side
    288,793,806.40x = 125,102,793,922,501,024
  5. Step 5: Solve for x
    x = 125,102,793,922,501,024/288,793,806.40
  6. Step 6: Final answer
    x = 433,190,709.60

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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.