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Finding the Fourth Proportional to 262,362,176.80, 393,781,210.80 and 133,059,738.40

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Solution

The fourth proportional to 262,362,176.80, 393,781,210.80 and 133,059,738.40 is: 199,710,284.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,362,176.80 : 393,781,210.80 = 133,059,738.40 : x
  2. Step 2: Convert to fraction form
    262,362,176.80/393,781,210.80 = 133,059,738.40/x
  3. Step 3: Cross multiply
    262,362,176.80x = 393,781,210.80 × 133,059,738.40
  4. Step 4: Simplify right side
    262,362,176.80x = 52,396,424,895,883,256
  5. Step 5: Solve for x
    x = 52,396,424,895,883,256/262,362,176.80
  6. Step 6: Final answer
    x = 199,710,284.21

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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.