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Finding the Fourth Proportional to 393,984,046.40, 552,484,657.60 and 393,984,046.40

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Solution

The fourth proportional to 393,984,046.40, 552,484,657.60 and 393,984,046.40 is: 552,484,657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,984,046.40 : 552,484,657.60 = 393,984,046.40 : x
  2. Step 2: Convert to fraction form
    393,984,046.40/552,484,657.60 = 393,984,046.40/x
  3. Step 3: Cross multiply
    393,984,046.40x = 552,484,657.60 × 393,984,046.40
  4. Step 4: Simplify right side
    393,984,046.40x = 217,670,140,975,166,496
  5. Step 5: Solve for x
    x = 217,670,140,975,166,496/393,984,046.40
  6. Step 6: Final answer
    x = 552,484,657.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.