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Finding the Fourth Proportional to 70,876,671.60, 106,315,007.40 and 70,204,825.20

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Solution

The fourth proportional to 70,876,671.60, 106,315,007.40 and 70,204,825.20 is: 105,307,237.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,876,671.60 : 106,315,007.40 = 70,204,825.20 : x
  2. Step 2: Convert to fraction form
    70,876,671.60/106,315,007.40 = 70,204,825.20/x
  3. Step 3: Cross multiply
    70,876,671.60x = 106,315,007.40 × 70,204,825.20
  4. Step 4: Simplify right side
    70,876,671.60x = 7,463,826,510,653,707
  5. Step 5: Solve for x
    x = 7,463,826,510,653,707/70,876,671.60
  6. Step 6: Final answer
    x = 105,307,237.80

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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.