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Finding the Fourth Proportional to 544,807,728,000.40, 817,211,592,000.60 and 544,807,728,000.40

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Solution

The fourth proportional to 544,807,728,000.40, 817,211,592,000.60 and 544,807,728,000.40 is: 817,211,592,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,807,728,000.40 : 817,211,592,000.60 = 544,807,728,000.40 : x
  2. Step 2: Convert to fraction form
    544,807,728,000.40/817,211,592,000.60 = 544,807,728,000.40/x
  3. Step 3: Cross multiply
    544,807,728,000.40x = 817,211,592,000.60 × 544,807,728,000.40
  4. Step 4: Simplify right side
    544,807,728,000.40x = 445,223,190,733,436,741,484,544
  5. Step 5: Solve for x
    x = 445,223,190,733,436,741,484,544/544,807,728,000.40
  6. Step 6: Final answer
    x = 817,211,592,000.60

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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.