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Finding the Fourth Proportional to 475,722,323.60, 713,583,485.40 and 425,837,728.40

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Solution

The fourth proportional to 475,722,323.60, 713,583,485.40 and 425,837,728.40 is: 638,756,592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,722,323.60 : 713,583,485.40 = 425,837,728.40 : x
  2. Step 2: Convert to fraction form
    475,722,323.60/713,583,485.40 = 425,837,728.40/x
  3. Step 3: Cross multiply
    475,722,323.60x = 713,583,485.40 × 425,837,728.40
  4. Step 4: Simplify right side
    475,722,323.60x = 303,870,770,446,490,560
  5. Step 5: Solve for x
    x = 303,870,770,446,490,560/475,722,323.60
  6. Step 6: Final answer
    x = 638,756,592.60

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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.