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Finding the Fourth Proportional to 565,457,328,002.30, 848,185,992,003.45 and 565,457,328,002.30

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Solution

The fourth proportional to 565,457,328,002.30, 848,185,992,003.45 and 565,457,328,002.30 is: 848,185,992,003.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,457,328,002.30 : 848,185,992,003.45 = 565,457,328,002.30 : x
  2. Step 2: Convert to fraction form
    565,457,328,002.30/848,185,992,003.45 = 565,457,328,002.30/x
  3. Step 3: Cross multiply
    565,457,328,002.30x = 848,185,992,003.45 × 565,457,328,002.30
  4. Step 4: Simplify right side
    565,457,328,002.30x = 479,612,984,687,251,014,287,360
  5. Step 5: Solve for x
    x = 479,612,984,687,251,014,287,360/565,457,328,002.30
  6. Step 6: Final answer
    x = 848,185,992,003.45

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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.