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Finding the Fourth Proportional to 8,734,676,543.90, 13,102,014,815.85 and 8,734,676,543.90

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Solution

The fourth proportional to 8,734,676,543.90, 13,102,014,815.85 and 8,734,676,543.90 is: 13,102,014,815.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,734,676,543.90 : 13,102,014,815.85 = 8,734,676,543.90 : x
  2. Step 2: Convert to fraction form
    8,734,676,543.90/13,102,014,815.85 = 8,734,676,543.90/x
  3. Step 3: Cross multiply
    8,734,676,543.90x = 13,102,014,815.85 × 8,734,676,543.90
  4. Step 4: Simplify right side
    8,734,676,543.90x = 114,441,861,489,835,278,336
  5. Step 5: Solve for x
    x = 114,441,861,489,835,278,336/8,734,676,543.90
  6. Step 6: Final answer
    x = 13,102,014,815.85

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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.