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Finding the Fourth Proportional to 47,796,838,863.90, 71,695,258,295.85 and 47,796,838,863.90

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Solution

The fourth proportional to 47,796,838,863.90, 71,695,258,295.85 and 47,796,838,863.90 is: 71,695,258,295.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,796,838,863.90 : 71,695,258,295.85 = 47,796,838,863.90 : x
  2. Step 2: Convert to fraction form
    47,796,838,863.90/71,695,258,295.85 = 47,796,838,863.90/x
  3. Step 3: Cross multiply
    47,796,838,863.90x = 71,695,258,295.85 × 47,796,838,863.90
  4. Step 4: Simplify right side
    47,796,838,863.90x = 3,426,806,708,072,432,533,504
  5. Step 5: Solve for x
    x = 3,426,806,708,072,432,533,504/47,796,838,863.90
  6. Step 6: Final answer
    x = 71,695,258,295.85

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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.