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Finding the Fourth Proportional to 2,129,143,799.40, 3,193,715,699.10 and 2,129,143,799.40

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Solution

The fourth proportional to 2,129,143,799.40, 3,193,715,699.10 and 2,129,143,799.40 is: 3,193,715,699.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,143,799.40 : 3,193,715,699.10 = 2,129,143,799.40 : x
  2. Step 2: Convert to fraction form
    2,129,143,799.40/3,193,715,699.10 = 2,129,143,799.40/x
  3. Step 3: Cross multiply
    2,129,143,799.40x = 3,193,715,699.10 × 2,129,143,799.40
  4. Step 4: Simplify right side
    2,129,143,799.40x = 6,799,879,977,785,201,664
  5. Step 5: Solve for x
    x = 6,799,879,977,785,201,664/2,129,143,799.40
  6. Step 6: Final answer
    x = 3,193,715,699.10

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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.