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Finding the Fourth Proportional to 434,439,600.30, 651,659,400.45 and 434,439,600.30

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Solution

The fourth proportional to 434,439,600.30, 651,659,400.45 and 434,439,600.30 is: 651,659,400.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,439,600.30 : 651,659,400.45 = 434,439,600.30 : x
  2. Step 2: Convert to fraction form
    434,439,600.30/651,659,400.45 = 434,439,600.30/x
  3. Step 3: Cross multiply
    434,439,600.30x = 651,659,400.45 × 434,439,600.30
  4. Step 4: Simplify right side
    434,439,600.30x = 283,106,649,463,235,680
  5. Step 5: Solve for x
    x = 283,106,649,463,235,680/434,439,600.30
  6. Step 6: Final answer
    x = 651,659,400.45

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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.