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Finding the Fourth Proportional to 2,326,984,967.10, 3,490,477,450.65 and 2,326,984,967.10

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Solution

The fourth proportional to 2,326,984,967.10, 3,490,477,450.65 and 2,326,984,967.10 is: 3,490,477,450.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326,984,967.10 : 3,490,477,450.65 = 2,326,984,967.10 : x
  2. Step 2: Convert to fraction form
    2,326,984,967.10/3,490,477,450.65 = 2,326,984,967.10/x
  3. Step 3: Cross multiply
    2,326,984,967.10x = 3,490,477,450.65 × 2,326,984,967.10
  4. Step 4: Simplify right side
    2,326,984,967.10x = 8,122,288,555,664,081,920
  5. Step 5: Solve for x
    x = 8,122,288,555,664,081,920/2,326,984,967.10
  6. Step 6: Final answer
    x = 3,490,477,450.65

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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.