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Finding the Fourth Proportional to 47,869,066,823.60, 71,803,600,235.40 and 47,869,066,823.60

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Solution

The fourth proportional to 47,869,066,823.60, 71,803,600,235.40 and 47,869,066,823.60 is: 71,803,600,235.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,869,066,823.60 : 71,803,600,235.40 = 47,869,066,823.60 : x
  2. Step 2: Convert to fraction form
    47,869,066,823.60/71,803,600,235.40 = 47,869,066,823.60/x
  3. Step 3: Cross multiply
    47,869,066,823.60x = 71,803,600,235.40 × 47,869,066,823.60
  4. Step 4: Simplify right side
    47,869,066,823.60x = 3,437,171,337,843,422,789,632
  5. Step 5: Solve for x
    x = 3,437,171,337,843,422,789,632/47,869,066,823.60
  6. Step 6: Final answer
    x = 71,803,600,235.40

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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.