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Finding the Fourth Proportional to 816,136,961.10, 1,224,205,441.65 and 816,136,961.10

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Solution

The fourth proportional to 816,136,961.10, 1,224,205,441.65 and 816,136,961.10 is: 1,224,205,441.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,136,961.10 : 1,224,205,441.65 = 816,136,961.10 : x
  2. Step 2: Convert to fraction form
    816,136,961.10/1,224,205,441.65 = 816,136,961.10/x
  3. Step 3: Cross multiply
    816,136,961.10x = 1,224,205,441.65 × 816,136,961.10
  4. Step 4: Simplify right side
    816,136,961.10x = 999,119,308,910,314,496
  5. Step 5: Solve for x
    x = 999,119,308,910,314,496/816,136,961.10
  6. Step 6: Final answer
    x = 1,224,205,441.65

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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.