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Finding the Fourth Proportional to 487,956,393,005.70, 731,934,589,508.51 and 487,956,393,005.70

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Solution

The fourth proportional to 487,956,393,005.70, 731,934,589,508.51 and 487,956,393,005.70 is: 731,934,589,508.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,956,393,005.70 : 731,934,589,508.51 = 487,956,393,005.70 : x
  2. Step 2: Convert to fraction form
    487,956,393,005.70/731,934,589,508.51 = 487,956,393,005.70/x
  3. Step 3: Cross multiply
    487,956,393,005.70x = 731,934,589,508.51 × 487,956,393,005.70
  4. Step 4: Simplify right side
    487,956,393,005.70x = 357,152,162,212,680,235,483,136
  5. Step 5: Solve for x
    x = 357,152,162,212,680,235,483,136/487,956,393,005.70
  6. Step 6: Final answer
    x = 731,934,589,508.51

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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.