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Finding the Fourth Proportional to 215,778,816,176.70, 323,232,867,797.85 and 215,778,816,176.70

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Solution

The fourth proportional to 215,778,816,176.70, 323,232,867,797.85 and 215,778,816,176.70 is: 323,232,867,797.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,778,816,176.70 : 323,232,867,797.85 = 215,778,816,176.70 : x
  2. Step 2: Convert to fraction form
    215,778,816,176.70/323,232,867,797.85 = 215,778,816,176.70/x
  3. Step 3: Cross multiply
    215,778,816,176.70x = 323,232,867,797.85 × 215,778,816,176.70
  4. Step 4: Simplify right side
    215,778,816,176.70x = 69,746,805,562,819,850,797,056
  5. Step 5: Solve for x
    x = 69,746,805,562,819,850,797,056/215,778,816,176.70
  6. Step 6: Final answer
    x = 323,232,867,797.85

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1.5x scale

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.