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Finding the Fourth Proportional to 47,796,826,418.40, 71,695,239,627.60 and 47,796,826,418.40

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Solution

The fourth proportional to 47,796,826,418.40, 71,695,239,627.60 and 47,796,826,418.40 is: 71,695,239,627.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,796,826,418.40 : 71,695,239,627.60 = 47,796,826,418.40 : x
  2. Step 2: Convert to fraction form
    47,796,826,418.40/71,695,239,627.60 = 47,796,826,418.40/x
  3. Step 3: Cross multiply
    47,796,826,418.40x = 71,695,239,627.60 × 47,796,826,418.40
  4. Step 4: Simplify right side
    47,796,826,418.40x = 3,426,804,923,505,990,696,960
  5. Step 5: Solve for x
    x = 3,426,804,923,505,990,696,960/47,796,826,418.40
  6. Step 6: Final answer
    x = 71,695,239,627.60

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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.