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Finding the Fourth Proportional to 411,734,586,937.80, 617,601,880,406.70 and 411,734,586,937.80

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Solution

The fourth proportional to 411,734,586,937.80, 617,601,880,406.70 and 411,734,586,937.80 is: 617,601,880,406.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,734,586,937.80 : 617,601,880,406.70 = 411,734,586,937.80 : x
  2. Step 2: Convert to fraction form
    411,734,586,937.80/617,601,880,406.70 = 411,734,586,937.80/x
  3. Step 3: Cross multiply
    411,734,586,937.80x = 617,601,880,406.70 × 411,734,586,937.80
  4. Step 4: Simplify right side
    411,734,586,937.80x = 254,288,055,121,261,155,581,952
  5. Step 5: Solve for x
    x = 254,288,055,121,261,155,581,952/411,734,586,937.80
  6. Step 6: Final answer
    x = 617,601,880,406.70

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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.