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Finding the Fourth Proportional to 704,880,961.50, 972,678,698.33 and 407,542,280.79

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Solution

The fourth proportional to 704,880,961.50, 972,678,698.33 and 407,542,280.79 is: 562,375,375.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,880,961.50 : 972,678,698.33 = 407,542,280.79 : x
  2. Step 2: Convert to fraction form
    704,880,961.50/972,678,698.33 = 407,542,280.79/x
  3. Step 3: Cross multiply
    704,880,961.50x = 972,678,698.33 × 407,542,280.79
  4. Step 4: Simplify right side
    704,880,961.50x = 396,407,695,191,218,880
  5. Step 5: Solve for x
    x = 396,407,695,191,218,880/704,880,961.50
  6. Step 6: Final answer
    x = 562,375,375.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.