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Finding the Fourth Proportional to 255,083,718,200.18, 382,625,577,300.27 and 255,083,718,200.18

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Solution

The fourth proportional to 255,083,718,200.18, 382,625,577,300.27 and 255,083,718,200.18 is: 382,625,577,300.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,083,718,200.18 : 382,625,577,300.27 = 255,083,718,200.18 : x
  2. Step 2: Convert to fraction form
    255,083,718,200.18/382,625,577,300.27 = 255,083,718,200.18/x
  3. Step 3: Cross multiply
    255,083,718,200.18x = 382,625,577,300.27 × 255,083,718,200.18
  4. Step 4: Simplify right side
    255,083,718,200.18x = 97,601,554,936,243,261,800,448
  5. Step 5: Solve for x
    x = 97,601,554,936,243,261,800,448/255,083,718,200.18
  6. Step 6: Final answer
    x = 382,625,577,300.27

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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.