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Finding the Fourth Proportional to 46,952,981,569.65, 70,429,472,354.48 and 46,952,981,569.65

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Solution

The fourth proportional to 46,952,981,569.65, 70,429,472,354.48 and 46,952,981,569.65 is: 70,429,472,354.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,952,981,569.65 : 70,429,472,354.48 = 46,952,981,569.65 : x
  2. Step 2: Convert to fraction form
    46,952,981,569.65/70,429,472,354.48 = 46,952,981,569.65/x
  3. Step 3: Cross multiply
    46,952,981,569.65x = 70,429,472,354.48 × 46,952,981,569.65
  4. Step 4: Simplify right side
    46,952,981,569.65x = 3,306,873,717,419,839,324,160
  5. Step 5: Solve for x
    x = 3,306,873,717,419,839,324,160/46,952,981,569.65
  6. Step 6: Final answer
    x = 70,429,472,354.48

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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.