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Finding the Fourth Proportional to 597,914,441.20, 896,871,661.80 and 597,914,441.20

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Solution

The fourth proportional to 597,914,441.20, 896,871,661.80 and 597,914,441.20 is: 896,871,661.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,914,441.20 : 896,871,661.80 = 597,914,441.20 : x
  2. Step 2: Convert to fraction form
    597,914,441.20/896,871,661.80 = 597,914,441.20/x
  3. Step 3: Cross multiply
    597,914,441.20x = 896,871,661.80 × 597,914,441.20
  4. Step 4: Simplify right side
    597,914,441.20x = 536,252,518,493,262,400
  5. Step 5: Solve for x
    x = 536,252,518,493,262,400/597,914,441.20
  6. Step 6: Final answer
    x = 896,871,661.80

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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.