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Finding the Fourth Proportional to 528,163,074,688.80, 792,244,612,033.20 and 528,163,074,688.80

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Solution

The fourth proportional to 528,163,074,688.80, 792,244,612,033.20 and 528,163,074,688.80 is: 792,244,612,033.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,163,074,688.80 : 792,244,612,033.20 = 528,163,074,688.80 : x
  2. Step 2: Convert to fraction form
    528,163,074,688.80/792,244,612,033.20 = 528,163,074,688.80/x
  3. Step 3: Cross multiply
    528,163,074,688.80x = 792,244,612,033.20 × 528,163,074,688.80
  4. Step 4: Simplify right side
    528,163,074,688.80x = 418,434,350,197,090,342,141,952
  5. Step 5: Solve for x
    x = 418,434,350,197,090,342,141,952/528,163,074,688.80
  6. Step 6: Final answer
    x = 792,244,612,033.20

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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.