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Finding the Fourth Proportional to 578,770,856.90, 869,164,054.95 and 306,673,064.90

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Solution

The fourth proportional to 578,770,856.90, 869,164,054.95 and 306,673,064.90 is: 460,543,583.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,770,856.90 : 869,164,054.95 = 306,673,064.90 : x
  2. Step 2: Convert to fraction form
    578,770,856.90/869,164,054.95 = 306,673,064.90/x
  3. Step 3: Cross multiply
    578,770,856.90x = 869,164,054.95 × 306,673,064.90
  4. Step 4: Simplify right side
    578,770,856.90x = 266,549,204,632,428,512
  5. Step 5: Solve for x
    x = 266,549,204,632,428,512/578,770,856.90
  6. Step 6: Final answer
    x = 460,543,583.79

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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.