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Finding the Fourth Proportional to 206,858,745,025.95, 310,288,117,538.93 and 206,858,745,025.95

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Solution

The fourth proportional to 206,858,745,025.95, 310,288,117,538.93 and 206,858,745,025.95 is: 310,288,117,538.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,858,745,025.95 : 310,288,117,538.93 = 206,858,745,025.95 : x
  2. Step 2: Convert to fraction form
    206,858,745,025.95/310,288,117,538.93 = 206,858,745,025.95/x
  3. Step 3: Cross multiply
    206,858,745,025.95x = 310,288,117,538.93 × 206,858,745,025.95
  4. Step 4: Simplify right side
    206,858,745,025.95x = 64,185,810,590,567,527,088,128
  5. Step 5: Solve for x
    x = 64,185,810,590,567,527,088,128/206,858,745,025.95
  6. Step 6: Final answer
    x = 310,288,117,538.93

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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.