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Finding the Fourth Proportional to 285,148,973,996.70, 427,723,460,995.05 and 285,148,973,996.70

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Solution

The fourth proportional to 285,148,973,996.70, 427,723,460,995.05 and 285,148,973,996.70 is: 427,723,460,995.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,148,973,996.70 : 427,723,460,995.05 = 285,148,973,996.70 : x
  2. Step 2: Convert to fraction form
    285,148,973,996.70/427,723,460,995.05 = 285,148,973,996.70/x
  3. Step 3: Cross multiply
    285,148,973,996.70x = 427,723,460,995.05 × 285,148,973,996.70
  4. Step 4: Simplify right side
    285,148,973,996.70x = 121,964,906,057,056,045,236,224
  5. Step 5: Solve for x
    x = 121,964,906,057,056,045,236,224/285,148,973,996.70
  6. Step 6: Final answer
    x = 427,723,460,995.05

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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.