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Finding the Fourth Proportional to 498,528,098.90, 747,792,148.47 and 498,528,098.90

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Solution

The fourth proportional to 498,528,098.90, 747,792,148.47 and 498,528,098.90 is: 747,792,148.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,528,098.90 : 747,792,148.47 = 498,528,098.90 : x
  2. Step 2: Convert to fraction form
    498,528,098.90/747,792,148.47 = 498,528,098.90/x
  3. Step 3: Cross multiply
    498,528,098.90x = 747,792,148.47 × 498,528,098.90
  4. Step 4: Simplify right side
    498,528,098.90x = 372,795,398,149,095,616
  5. Step 5: Solve for x
    x = 372,795,398,149,095,616/498,528,098.90
  6. Step 6: Final answer
    x = 747,792,148.47

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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.