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Finding the Fourth Proportional to 309,169,380,232.80, 463,101,035,648.40 and 309,169,380,232.80

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Solution

The fourth proportional to 309,169,380,232.80, 463,101,035,648.40 and 309,169,380,232.80 is: 463,101,035,648.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,169,380,232.80 : 463,101,035,648.40 = 309,169,380,232.80 : x
  2. Step 2: Convert to fraction form
    309,169,380,232.80/463,101,035,648.40 = 309,169,380,232.80/x
  3. Step 3: Cross multiply
    309,169,380,232.80x = 463,101,035,648.40 × 309,169,380,232.80
  4. Step 4: Simplify right side
    309,169,380,232.80x = 143,176,660,176,583,656,472,576
  5. Step 5: Solve for x
    x = 143,176,660,176,583,656,472,576/309,169,380,232.80
  6. Step 6: Final answer
    x = 463,101,035,648.40

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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.