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Finding the Fourth Proportional to 408,650,038.40, 613,152,004.80 and 193,128,348.80

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Solution

The fourth proportional to 408,650,038.40, 613,152,004.80 and 193,128,348.80 is: 289,776,148.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,650,038.40 : 613,152,004.80 = 193,128,348.80 : x
  2. Step 2: Convert to fraction form
    408,650,038.40/613,152,004.80 = 193,128,348.80/x
  3. Step 3: Cross multiply
    408,650,038.40x = 613,152,004.80 × 193,128,348.80
  4. Step 4: Simplify right side
    408,650,038.40x = 118,417,034,250,433,680
  5. Step 5: Solve for x
    x = 118,417,034,250,433,680/408,650,038.40
  6. Step 6: Final answer
    x = 289,776,148.59

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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.