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Finding the Fourth Proportional to 170,055,812,117.45, 255,083,718,176.17 and 170,055,812,117.45

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Solution

The fourth proportional to 170,055,812,117.45, 255,083,718,176.17 and 170,055,812,117.45 is: 255,083,718,176.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,055,812,117.45 : 255,083,718,176.17 = 170,055,812,117.45 : x
  2. Step 2: Convert to fraction form
    170,055,812,117.45/255,083,718,176.17 = 170,055,812,117.45/x
  3. Step 3: Cross multiply
    170,055,812,117.45x = 255,083,718,176.17 × 170,055,812,117.45
  4. Step 4: Simplify right side
    170,055,812,117.45x = 43,378,468,852,387,339,567,104
  5. Step 5: Solve for x
    x = 43,378,468,852,387,339,567,104/170,055,812,117.45
  6. Step 6: Final answer
    x = 255,083,718,176.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.