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Finding the Fourth Proportional to 498,528,005.65, 747,792,008.48 and 498,528,005.65

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Solution

The fourth proportional to 498,528,005.65, 747,792,008.48 and 498,528,005.65 is: 747,792,008.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,528,005.65 : 747,792,008.48 = 498,528,005.65 : x
  2. Step 2: Convert to fraction form
    498,528,005.65/747,792,008.48 = 498,528,005.65/x
  3. Step 3: Cross multiply
    498,528,005.65x = 747,792,008.48 × 498,528,005.65
  4. Step 4: Simplify right side
    498,528,005.65x = 372,795,258,628,542,272
  5. Step 5: Solve for x
    x = 372,795,258,628,542,272/498,528,005.65
  6. Step 6: Final answer
    x = 747,792,008.48

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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.