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Finding the Fourth Proportional to 411,734,586,095.70, 617,601,879,143.55 and 411,734,586,095.70

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Solution

The fourth proportional to 411,734,586,095.70, 617,601,879,143.55 and 411,734,586,095.70 is: 617,601,879,143.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,734,586,095.70 : 617,601,879,143.55 = 411,734,586,095.70 : x
  2. Step 2: Convert to fraction form
    411,734,586,095.70/617,601,879,143.55 = 411,734,586,095.70/x
  3. Step 3: Cross multiply
    411,734,586,095.70x = 617,601,879,143.55 × 411,734,586,095.70
  4. Step 4: Simplify right side
    411,734,586,095.70x = 254,288,054,081,096,110,833,664
  5. Step 5: Solve for x
    x = 254,288,054,081,096,110,833,664/411,734,586,095.70
  6. Step 6: Final answer
    x = 617,601,879,143.55

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Double scale
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1.5x scale

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.