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Finding the Fourth Proportional to 145,322,381,815.60, 217,983,572,723.40 and 145,322,381,815.60

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Solution

The fourth proportional to 145,322,381,815.60, 217,983,572,723.40 and 145,322,381,815.60 is: 217,983,572,723.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,322,381,815.60 : 217,983,572,723.40 = 145,322,381,815.60 : x
  2. Step 2: Convert to fraction form
    145,322,381,815.60/217,983,572,723.40 = 145,322,381,815.60/x
  3. Step 3: Cross multiply
    145,322,381,815.60x = 217,983,572,723.40 × 145,322,381,815.60
  4. Step 4: Simplify right side
    145,322,381,815.60x = 31,677,891,984,838,543,540,224
  5. Step 5: Solve for x
    x = 31,677,891,984,838,543,540,224/145,322,381,815.60
  6. Step 6: Final answer
    x = 217,983,572,723.40

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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.