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Finding the Fourth Proportional to 20,403,403,411.70, 30,605,105,117.55 and 20,403,403,411.70

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Solution

The fourth proportional to 20,403,403,411.70, 30,605,105,117.55 and 20,403,403,411.70 is: 30,605,105,117.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,403,403,411.70 : 30,605,105,117.55 = 20,403,403,411.70 : x
  2. Step 2: Convert to fraction form
    20,403,403,411.70/30,605,105,117.55 = 20,403,403,411.70/x
  3. Step 3: Cross multiply
    20,403,403,411.70x = 30,605,105,117.55 × 20,403,403,411.70
  4. Step 4: Simplify right side
    20,403,403,411.70x = 624,448,306,170,856,865,792
  5. Step 5: Solve for x
    x = 624,448,306,170,856,865,792/20,403,403,411.70
  6. Step 6: Final answer
    x = 30,605,105,117.55

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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.