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Finding the Fourth Proportional to 2,671,129,872,002.10, 4,006,694,808,002.80 and 2,671,129,872,002.10

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Solution

The fourth proportional to 2,671,129,872,002.10, 4,006,694,808,002.80 and 2,671,129,872,002.10 is: 4,006,694,808,002.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671,129,872,002.10 : 4,006,694,808,002.80 = 2,671,129,872,002.10 : x
  2. Step 2: Convert to fraction form
    2,671,129,872,002.10/4,006,694,808,002.80 = 2,671,129,872,002.10/x
  3. Step 3: Cross multiply
    2,671,129,872,002.10x = 4,006,694,808,002.80 × 2,671,129,872,002.10
  4. Step 4: Simplify right side
    2,671,129,872,002.10x = 10,702,402,189,651,998,477,910,016
  5. Step 5: Solve for x
    x = 10,702,402,189,651,998,477,910,016/2,671,129,872,002.10
  6. Step 6: Final answer
    x = 4,006,694,808,002.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.