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Finding the Fourth Proportional to 489,695,999.90, 734,543,999.85 and 425,923,079.90

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Solution

The fourth proportional to 489,695,999.90, 734,543,999.85 and 425,923,079.90 is: 638,884,619.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,695,999.90 : 734,543,999.85 = 425,923,079.90 : x
  2. Step 2: Convert to fraction form
    489,695,999.90/734,543,999.85 = 425,923,079.90/x
  3. Step 3: Cross multiply
    489,695,999.90x = 734,543,999.85 × 425,923,079.90
  4. Step 4: Simplify right side
    489,695,999.90x = 312,859,242,738,177,152
  5. Step 5: Solve for x
    x = 312,859,242,738,177,152/489,695,999.90
  6. Step 6: Final answer
    x = 638,884,619.85

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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.