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Finding the Fourth Proportional to 1,073,102,502.05, 1,609,653,753.08 and 1,073,102,502.05

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Solution

The fourth proportional to 1,073,102,502.05, 1,609,653,753.08 and 1,073,102,502.05 is: 1,609,653,753.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073,102,502.05 : 1,609,653,753.08 = 1,073,102,502.05 : x
  2. Step 2: Convert to fraction form
    1,073,102,502.05/1,609,653,753.08 = 1,073,102,502.05/x
  3. Step 3: Cross multiply
    1,073,102,502.05x = 1,609,653,753.08 × 1,073,102,502.05
  4. Step 4: Simplify right side
    1,073,102,502.05x = 1,727,323,469,858,955,264
  5. Step 5: Solve for x
    x = 1,727,323,469,858,955,264/1,073,102,502.05
  6. Step 6: Final answer
    x = 1,609,653,753.08

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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.