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Finding the Fourth Proportional to 215,778,816,003.20, 323,232,867,537.60 and 215,778,816,003.20

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Solution

The fourth proportional to 215,778,816,003.20, 323,232,867,537.60 and 215,778,816,003.20 is: 323,232,867,537.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,778,816,003.20 : 323,232,867,537.60 = 215,778,816,003.20 : x
  2. Step 2: Convert to fraction form
    215,778,816,003.20/323,232,867,537.60 = 215,778,816,003.20/x
  3. Step 3: Cross multiply
    215,778,816,003.20x = 323,232,867,537.60 × 215,778,816,003.20
  4. Step 4: Simplify right side
    215,778,816,003.20x = 69,746,805,450,582,507,126,784
  5. Step 5: Solve for x
    x = 69,746,805,450,582,507,126,784/215,778,816,003.20
  6. Step 6: Final answer
    x = 323,232,867,537.60

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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.