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Finding the Fourth Proportional to 498,528,004.65, 747,792,006.98 and 498,528,004.65

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Solution

The fourth proportional to 498,528,004.65, 747,792,006.98 and 498,528,004.65 is: 747,792,006.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,528,004.65 : 747,792,006.98 = 498,528,004.65 : x
  2. Step 2: Convert to fraction form
    498,528,004.65/747,792,006.98 = 498,528,004.65/x
  3. Step 3: Cross multiply
    498,528,004.65x = 747,792,006.98 × 498,528,004.65
  4. Step 4: Simplify right side
    498,528,004.65x = 372,795,257,130,465,600
  5. Step 5: Solve for x
    x = 372,795,257,130,465,600/498,528,004.65
  6. Step 6: Final answer
    x = 747,792,006.98

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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.