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Finding the Fourth Proportional to 257,436,145,655.70, 386,154,218,483.55 and 257,436,145,655.70

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Solution

The fourth proportional to 257,436,145,655.70, 386,154,218,483.55 and 257,436,145,655.70 is: 386,154,218,483.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,436,145,655.70 : 386,154,218,483.55 = 257,436,145,655.70 : x
  2. Step 2: Convert to fraction form
    257,436,145,655.70/386,154,218,483.55 = 257,436,145,655.70/x
  3. Step 3: Cross multiply
    257,436,145,655.70x = 386,154,218,483.55 × 257,436,145,655.70
  4. Step 4: Simplify right side
    257,436,145,655.70x = 99,410,053,635,094,177,906,688
  5. Step 5: Solve for x
    x = 99,410,053,635,094,177,906,688/257,436,145,655.70
  6. Step 6: Final answer
    x = 386,154,218,483.55

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Double scale
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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.