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Finding the Fourth Proportional to 344,460,482,761.80, 516,690,724,142.70 and 344,460,482,761.80

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Solution

The fourth proportional to 344,460,482,761.80, 516,690,724,142.70 and 344,460,482,761.80 is: 516,690,724,142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,460,482,761.80 : 516,690,724,142.70 = 344,460,482,761.80 : x
  2. Step 2: Convert to fraction form
    344,460,482,761.80/516,690,724,142.70 = 344,460,482,761.80/x
  3. Step 3: Cross multiply
    344,460,482,761.80x = 516,690,724,142.70 × 344,460,482,761.80
  4. Step 4: Simplify right side
    344,460,482,761.80x = 177,979,536,276,738,472,411,136
  5. Step 5: Solve for x
    x = 177,979,536,276,738,472,411,136/344,460,482,761.80
  6. Step 6: Final answer
    x = 516,690,724,142.70

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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.