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Finding the Fourth Proportional to 217,816,401.60, 305,169,710.40 and 217,816,401.60

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Solution

The fourth proportional to 217,816,401.60, 305,169,710.40 and 217,816,401.60 is: 305,169,710.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,816,401.60 : 305,169,710.40 = 217,816,401.60 : x
  2. Step 2: Convert to fraction form
    217,816,401.60/305,169,710.40 = 217,816,401.60/x
  3. Step 3: Cross multiply
    217,816,401.60x = 305,169,710.40 × 217,816,401.60
  4. Step 4: Simplify right side
    217,816,401.60x = 66,470,968,196,642,088
  5. Step 5: Solve for x
    x = 66,470,968,196,642,088/217,816,401.60
  6. Step 6: Final answer
    x = 305,169,710.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.